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Finding the Fourth Proportional to 288.61, 432.88 and 178.94

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Solution

The fourth proportional to 288.61, 432.88 and 178.94 is: 268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.61 : 432.88 = 178.94 : x
  2. Step 2: Convert to fraction form
    288.61/432.88 = 178.94/x
  3. Step 3: Cross multiply
    288.61x = 432.88 × 178.94
  4. Step 4: Simplify right side
    288.61x = 77,457.38
  5. Step 5: Solve for x
    x = 77,457.38/288.61
  6. Step 6: Final answer
    x = 268.39

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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.