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Finding the Fourth Proportional to 231.50, 346.80 and 150.14

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Solution

The fourth proportional to 231.50, 346.80 and 150.14 is: 224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.50 : 346.80 = 150.14 : x
  2. Step 2: Convert to fraction form
    231.50/346.80 = 150.14/x
  3. Step 3: Cross multiply
    231.50x = 346.80 × 150.14
  4. Step 4: Simplify right side
    231.50x = 52,068.55
  5. Step 5: Solve for x
    x = 52,068.55/231.50
  6. Step 6: Final answer
    x = 224.92

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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.