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Finding the Fourth Proportional to 178.27, 265.90 and 151.03

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Solution

The fourth proportional to 178.27, 265.90 and 151.03 is: 225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.27 : 265.90 = 151.03 : x
  2. Step 2: Convert to fraction form
    178.27/265.90 = 151.03/x
  3. Step 3: Cross multiply
    178.27x = 265.90 × 151.03
  4. Step 4: Simplify right side
    178.27x = 40,158.12
  5. Step 5: Solve for x
    x = 40,158.12/178.27
  6. Step 6: Final answer
    x = 225.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.