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Finding the Fourth Proportional to 177.17, 265.36 and 153.15

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Solution

The fourth proportional to 177.17, 265.36 and 153.15 is: 229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.17 : 265.36 = 153.15 : x
  2. Step 2: Convert to fraction form
    177.17/265.36 = 153.15/x
  3. Step 3: Cross multiply
    177.17x = 265.36 × 153.15
  4. Step 4: Simplify right side
    177.17x = 40,639.88
  5. Step 5: Solve for x
    x = 40,639.88/177.17
  6. Step 6: Final answer
    x = 229.38

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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.