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Finding the Fourth Proportional to 288.90, 432.49 and 185.88

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Solution

The fourth proportional to 288.90, 432.49 and 185.88 is: 278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 432.49 = 185.88 : x
  2. Step 2: Convert to fraction form
    288.90/432.49 = 185.88/x
  3. Step 3: Cross multiply
    288.90x = 432.49 × 185.88
  4. Step 4: Simplify right side
    288.90x = 80,390.31
  5. Step 5: Solve for x
    x = 80,390.31/288.90
  6. Step 6: Final answer
    x = 278.26

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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.