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Finding the Fourth Proportional to 232.50, 320.88 and 145.14

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Solution

The fourth proportional to 232.50, 320.88 and 145.14 is: 200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 320.88 = 145.14 : x
  2. Step 2: Convert to fraction form
    232.50/320.88 = 145.14/x
  3. Step 3: Cross multiply
    232.50x = 320.88 × 145.14
  4. Step 4: Simplify right side
    232.50x = 46,572.52
  5. Step 5: Solve for x
    x = 46,572.52/232.50
  6. Step 6: Final answer
    x = 200.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.