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Finding the Fourth Proportional to 737.54, 1,106.30 and 189.71

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Solution

The fourth proportional to 737.54, 1,106.30 and 189.71 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.54 : 1,106.30 = 189.71 : x
  2. Step 2: Convert to fraction form
    737.54/1,106.30 = 189.71/x
  3. Step 3: Cross multiply
    737.54x = 1,106.30 × 189.71
  4. Step 4: Simplify right side
    737.54x = 209,875.22
  5. Step 5: Solve for x
    x = 209,875.22/737.54
  6. Step 6: Final answer
    x = 284.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.