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Finding the Fourth Proportional to 232.64, 349.02 and 146.10

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Solution

The fourth proportional to 232.64, 349.02 and 146.10 is: 219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.64 : 349.02 = 146.10 : x
  2. Step 2: Convert to fraction form
    232.64/349.02 = 146.10/x
  3. Step 3: Cross multiply
    232.64x = 349.02 × 146.10
  4. Step 4: Simplify right side
    232.64x = 50,991.82
  5. Step 5: Solve for x
    x = 50,991.82/232.64
  6. Step 6: Final answer
    x = 219.19

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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.