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Finding the Fourth Proportional to 189.36, 283.32 and 176.13

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Solution

The fourth proportional to 189.36, 283.32 and 176.13 is: 263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.36 : 283.32 = 176.13 : x
  2. Step 2: Convert to fraction form
    189.36/283.32 = 176.13/x
  3. Step 3: Cross multiply
    189.36x = 283.32 × 176.13
  4. Step 4: Simplify right side
    189.36x = 49,901.15
  5. Step 5: Solve for x
    x = 49,901.15/189.36
  6. Step 6: Final answer
    x = 263.53

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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.