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Finding the Fourth Proportional to 232.30, 320.69 and 145.02

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Solution

The fourth proportional to 232.30, 320.69 and 145.02 is: 200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.30 : 320.69 = 145.02 : x
  2. Step 2: Convert to fraction form
    232.30/320.69 = 145.02/x
  3. Step 3: Cross multiply
    232.30x = 320.69 × 145.02
  4. Step 4: Simplify right side
    232.30x = 46,506.46
  5. Step 5: Solve for x
    x = 46,506.46/232.30
  6. Step 6: Final answer
    x = 200.20

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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.