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Finding the Fourth Proportional to 191.57, 287.28 and 146.21

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Solution

The fourth proportional to 191.57, 287.28 and 146.21 is: 219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.57 : 287.28 = 146.21 : x
  2. Step 2: Convert to fraction form
    191.57/287.28 = 146.21/x
  3. Step 3: Cross multiply
    191.57x = 287.28 × 146.21
  4. Step 4: Simplify right side
    191.57x = 42,001.77
  5. Step 5: Solve for x
    x = 42,001.77/191.57
  6. Step 6: Final answer
    x = 219.26

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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.