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Finding the Fourth Proportional to 177.14, 265.26 and 141.14

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Solution

The fourth proportional to 177.14, 265.26 and 141.14 is: 211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.14 : 265.26 = 141.14 : x
  2. Step 2: Convert to fraction form
    177.14/265.26 = 141.14/x
  3. Step 3: Cross multiply
    177.14x = 265.26 × 141.14
  4. Step 4: Simplify right side
    177.14x = 37,438.80
  5. Step 5: Solve for x
    x = 37,438.80/177.14
  6. Step 6: Final answer
    x = 211.35

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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.