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Finding the Fourth Proportional to 232.52, 320.74 and 145.13

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Solution

The fourth proportional to 232.52, 320.74 and 145.13 is: 200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.52 : 320.74 = 145.13 : x
  2. Step 2: Convert to fraction form
    232.52/320.74 = 145.13/x
  3. Step 3: Cross multiply
    232.52x = 320.74 × 145.13
  4. Step 4: Simplify right side
    232.52x = 46,547.03
  5. Step 5: Solve for x
    x = 46,547.03/232.52
  6. Step 6: Final answer
    x = 200.19

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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.