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Finding the Fourth Proportional to 176.81, 265.75 and 129.02

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Solution

The fourth proportional to 176.81, 265.75 and 129.02 is: 193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.81 : 265.75 = 129.02 : x
  2. Step 2: Convert to fraction form
    176.81/265.75 = 129.02/x
  3. Step 3: Cross multiply
    176.81x = 265.75 × 129.02
  4. Step 4: Simplify right side
    176.81x = 34,285.41
  5. Step 5: Solve for x
    x = 34,285.41/176.81
  6. Step 6: Final answer
    x = 193.92

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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.