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Finding the Fourth Proportional to 177.55, 266.56 and 142.86

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Solution

The fourth proportional to 177.55, 266.56 and 142.86 is: 214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.55 : 266.56 = 142.86 : x
  2. Step 2: Convert to fraction form
    177.55/266.56 = 142.86/x
  3. Step 3: Cross multiply
    177.55x = 266.56 × 142.86
  4. Step 4: Simplify right side
    177.55x = 38,080.76
  5. Step 5: Solve for x
    x = 38,080.76/177.55
  6. Step 6: Final answer
    x = 214.48

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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.