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Finding the Fourth Proportional to 253.12, 379.70 and 88.59

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Solution

The fourth proportional to 253.12, 379.70 and 88.59 is: 132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.12 : 379.70 = 88.59 : x
  2. Step 2: Convert to fraction form
    253.12/379.70 = 88.59/x
  3. Step 3: Cross multiply
    253.12x = 379.70 × 88.59
  4. Step 4: Simplify right side
    253.12x = 33,637.18
  5. Step 5: Solve for x
    x = 33,637.18/253.12
  6. Step 6: Final answer
    x = 132.89

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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.