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Finding the Fourth Proportional to 191.25, 285.14 and 177.89

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Solution

The fourth proportional to 191.25, 285.14 and 177.89 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.25 : 285.14 = 177.89 : x
  2. Step 2: Convert to fraction form
    191.25/285.14 = 177.89/x
  3. Step 3: Cross multiply
    191.25x = 285.14 × 177.89
  4. Step 4: Simplify right side
    191.25x = 50,721.24
  5. Step 5: Solve for x
    x = 50,721.24/191.25
  6. Step 6: Final answer
    x = 265.21

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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.