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Finding the Fourth Proportional to 288.18, 432.19 and 82.70

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Solution

The fourth proportional to 288.18, 432.19 and 82.70 is: 124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.18 : 432.19 = 82.70 : x
  2. Step 2: Convert to fraction form
    288.18/432.19 = 82.70/x
  3. Step 3: Cross multiply
    288.18x = 432.19 × 82.70
  4. Step 4: Simplify right side
    288.18x = 35,739.54
  5. Step 5: Solve for x
    x = 35,739.54/288.18
  6. Step 6: Final answer
    x = 124.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.