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Finding the Fourth Proportional to 265.98, 399.72 and 137.82

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Solution

The fourth proportional to 265.98, 399.72 and 137.82 is: 207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.98 : 399.72 = 137.82 : x
  2. Step 2: Convert to fraction form
    265.98/399.72 = 137.82/x
  3. Step 3: Cross multiply
    265.98x = 399.72 × 137.82
  4. Step 4: Simplify right side
    265.98x = 55,089.41
  5. Step 5: Solve for x
    x = 55,089.41/265.98
  6. Step 6: Final answer
    x = 207.12

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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.