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Finding the Fourth Proportional to 232.35, 320.54 and 145.01

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Solution

The fourth proportional to 232.35, 320.54 and 145.01 is: 200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.35 : 320.54 = 145.01 : x
  2. Step 2: Convert to fraction form
    232.35/320.54 = 145.01/x
  3. Step 3: Cross multiply
    232.35x = 320.54 × 145.01
  4. Step 4: Simplify right side
    232.35x = 46,479.18
  5. Step 5: Solve for x
    x = 46,479.18/232.35
  6. Step 6: Final answer
    x = 200.04

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