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Finding the Fourth Proportional to 288.80, 432.36 and 180.26

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Solution

The fourth proportional to 288.80, 432.36 and 180.26 is: 269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.80 : 432.36 = 180.26 : x
  2. Step 2: Convert to fraction form
    288.80/432.36 = 180.26/x
  3. Step 3: Cross multiply
    288.80x = 432.36 × 180.26
  4. Step 4: Simplify right side
    288.80x = 77,937.21
  5. Step 5: Solve for x
    x = 77,937.21/288.80
  6. Step 6: Final answer
    x = 269.87

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