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Finding the Fourth Proportional to 491.34, 737.06 and 183.12

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Solution

The fourth proportional to 491.34, 737.06 and 183.12 is: 274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.34 : 737.06 = 183.12 : x
  2. Step 2: Convert to fraction form
    491.34/737.06 = 183.12/x
  3. Step 3: Cross multiply
    491.34x = 737.06 × 183.12
  4. Step 4: Simplify right side
    491.34x = 134,970.89
  5. Step 5: Solve for x
    x = 134,970.89/491.34
  6. Step 6: Final answer
    x = 274.70

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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.