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Finding the Fourth Proportional to 232.25, 320.65 and 145.04

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Solution

The fourth proportional to 232.25, 320.65 and 145.04 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.25 : 320.65 = 145.04 : x
  2. Step 2: Convert to fraction form
    232.25/320.65 = 145.04/x
  3. Step 3: Cross multiply
    232.25x = 320.65 × 145.04
  4. Step 4: Simplify right side
    232.25x = 46,507.52
  5. Step 5: Solve for x
    x = 46,507.52/232.25
  6. Step 6: Final answer
    x = 200.25

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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.