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Finding the Fourth Proportional to 177.17, 264.67 and 141.14

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Solution

The fourth proportional to 177.17, 264.67 and 141.14 is: 210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.17 : 264.67 = 141.14 : x
  2. Step 2: Convert to fraction form
    177.17/264.67 = 141.14/x
  3. Step 3: Cross multiply
    177.17x = 264.67 × 141.14
  4. Step 4: Simplify right side
    177.17x = 37,353.85
  5. Step 5: Solve for x
    x = 37,353.85/177.17
  6. Step 6: Final answer
    x = 210.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.