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Finding the Fourth Proportional to 288.25, 432.35 and 93.25

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Solution

The fourth proportional to 288.25, 432.35 and 93.25 is: 139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.25 : 432.35 = 93.25 : x
  2. Step 2: Convert to fraction form
    288.25/432.35 = 93.25/x
  3. Step 3: Cross multiply
    288.25x = 432.35 × 93.25
  4. Step 4: Simplify right side
    288.25x = 40,316.64
  5. Step 5: Solve for x
    x = 40,316.64/288.25
  6. Step 6: Final answer
    x = 139.87

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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.