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Finding the Fourth Proportional to 225.63, 337.05 and 174.15

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Solution

The fourth proportional to 225.63, 337.05 and 174.15 is: 260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.63 : 337.05 = 174.15 : x
  2. Step 2: Convert to fraction form
    225.63/337.05 = 174.15/x
  3. Step 3: Cross multiply
    225.63x = 337.05 × 174.15
  4. Step 4: Simplify right side
    225.63x = 58,697.26
  5. Step 5: Solve for x
    x = 58,697.26/225.63
  6. Step 6: Final answer
    x = 260.15

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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.