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Finding the Fourth Proportional to 268.64, 402.86 and 95.30

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Solution

The fourth proportional to 268.64, 402.86 and 95.30 is: 142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.64 : 402.86 = 95.30 : x
  2. Step 2: Convert to fraction form
    268.64/402.86 = 95.30/x
  3. Step 3: Cross multiply
    268.64x = 402.86 × 95.30
  4. Step 4: Simplify right side
    268.64x = 38,391.76
  5. Step 5: Solve for x
    x = 38,391.76/268.64
  6. Step 6: Final answer
    x = 142.91

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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.