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Finding the Fourth Proportional to 178.48, 268.12 and 135.28

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Solution

The fourth proportional to 178.48, 268.12 and 135.28 is: 203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 268.12 = 135.28 : x
  2. Step 2: Convert to fraction form
    178.48/268.12 = 135.28/x
  3. Step 3: Cross multiply
    178.48x = 268.12 × 135.28
  4. Step 4: Simplify right side
    178.48x = 36,271.27
  5. Step 5: Solve for x
    x = 36,271.27/178.48
  6. Step 6: Final answer
    x = 203.22

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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.