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Finding the Fourth Proportional to 177.61, 266 and 143.29

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Solution

The fourth proportional to 177.61, 266 and 143.29 is: 214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.61 : 266 = 143.29 : x
  2. Step 2: Convert to fraction form
    177.61/266 = 143.29/x
  3. Step 3: Cross multiply
    177.61x = 266 × 143.29
  4. Step 4: Simplify right side
    177.61x = 38,115.14
  5. Step 5: Solve for x
    x = 38,115.14/177.61
  6. Step 6: Final answer
    x = 214.60

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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.