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Finding the Fourth Proportional to 225.06, 337.02 and 171.06

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Solution

The fourth proportional to 225.06, 337.02 and 171.06 is: 256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.06 : 337.02 = 171.06 : x
  2. Step 2: Convert to fraction form
    225.06/337.02 = 171.06/x
  3. Step 3: Cross multiply
    225.06x = 337.02 × 171.06
  4. Step 4: Simplify right side
    225.06x = 57,650.64
  5. Step 5: Solve for x
    x = 57,650.64/225.06
  6. Step 6: Final answer
    x = 256.16

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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.