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Finding the Fourth Proportional to 266.19, 398.51 and 238.40

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Solution

The fourth proportional to 266.19, 398.51 and 238.40 is: 356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.19 : 398.51 = 238.40 : x
  2. Step 2: Convert to fraction form
    266.19/398.51 = 238.40/x
  3. Step 3: Cross multiply
    266.19x = 398.51 × 238.40
  4. Step 4: Simplify right side
    266.19x = 95,004.78
  5. Step 5: Solve for x
    x = 95,004.78/266.19
  6. Step 6: Final answer
    x = 356.91

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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.