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Finding the Fourth Proportional to 191.71, 287.67 and 146.35

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Solution

The fourth proportional to 191.71, 287.67 and 146.35 is: 219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.71 : 287.67 = 146.35 : x
  2. Step 2: Convert to fraction form
    191.71/287.67 = 146.35/x
  3. Step 3: Cross multiply
    191.71x = 287.67 × 146.35
  4. Step 4: Simplify right side
    191.71x = 42,099.77
  5. Step 5: Solve for x
    x = 42,099.77/191.71
  6. Step 6: Final answer
    x = 219.60

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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.