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Finding the Fourth Proportional to 225.68, 337.08 and 193.28

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Solution

The fourth proportional to 225.68, 337.08 and 193.28 is: 288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.68 : 337.08 = 193.28 : x
  2. Step 2: Convert to fraction form
    225.68/337.08 = 193.28/x
  3. Step 3: Cross multiply
    225.68x = 337.08 × 193.28
  4. Step 4: Simplify right side
    225.68x = 65,150.82
  5. Step 5: Solve for x
    x = 65,150.82/225.68
  6. Step 6: Final answer
    x = 288.69

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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.