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Finding the Fourth Proportional to 338.38, 507.45 and 153.16

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Solution

The fourth proportional to 338.38, 507.45 and 153.16 is: 229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.38 : 507.45 = 153.16 : x
  2. Step 2: Convert to fraction form
    338.38/507.45 = 153.16/x
  3. Step 3: Cross multiply
    338.38x = 507.45 × 153.16
  4. Step 4: Simplify right side
    338.38x = 77,722.31
  5. Step 5: Solve for x
    x = 77,722.31/338.38
  6. Step 6: Final answer
    x = 229.69

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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.