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Finding the Fourth Proportional to 288.31, 432.48 and 95.94

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Solution

The fourth proportional to 288.31, 432.48 and 95.94 is: 143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.31 : 432.48 = 95.94 : x
  2. Step 2: Convert to fraction form
    288.31/432.48 = 95.94/x
  3. Step 3: Cross multiply
    288.31x = 432.48 × 95.94
  4. Step 4: Simplify right side
    288.31x = 41,492.13
  5. Step 5: Solve for x
    x = 41,492.13/288.31
  6. Step 6: Final answer
    x = 143.91

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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.