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Finding the Fourth Proportional to 288.45, 432.20 and 180.02

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Solution

The fourth proportional to 288.45, 432.20 and 180.02 is: 269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.45 : 432.20 = 180.02 : x
  2. Step 2: Convert to fraction form
    288.45/432.20 = 180.02/x
  3. Step 3: Cross multiply
    288.45x = 432.20 × 180.02
  4. Step 4: Simplify right side
    288.45x = 77,806.17
  5. Step 5: Solve for x
    x = 77,806.17/288.45
  6. Step 6: Final answer
    x = 269.74

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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.