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Finding the Fourth Proportional to 178.84, 268.36 and 86.28

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Solution

The fourth proportional to 178.84, 268.36 and 86.28 is: 129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.84 : 268.36 = 86.28 : x
  2. Step 2: Convert to fraction form
    178.84/268.36 = 86.28/x
  3. Step 3: Cross multiply
    178.84x = 268.36 × 86.28
  4. Step 4: Simplify right side
    178.84x = 23,154.10
  5. Step 5: Solve for x
    x = 23,154.10/178.84
  6. Step 6: Final answer
    x = 129.47

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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.