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Finding the Fourth Proportional to 177.10, 265.14 and 133.56

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Solution

The fourth proportional to 177.10, 265.14 and 133.56 is: 199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.10 : 265.14 = 133.56 : x
  2. Step 2: Convert to fraction form
    177.10/265.14 = 133.56/x
  3. Step 3: Cross multiply
    177.10x = 265.14 × 133.56
  4. Step 4: Simplify right side
    177.10x = 35,412.10
  5. Step 5: Solve for x
    x = 35,412.10/177.10
  6. Step 6: Final answer
    x = 199.96

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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.