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Finding the Fourth Proportional to 271.64, 407.49 and 88.97

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Solution

The fourth proportional to 271.64, 407.49 and 88.97 is: 133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.64 : 407.49 = 88.97 : x
  2. Step 2: Convert to fraction form
    271.64/407.49 = 88.97/x
  3. Step 3: Cross multiply
    271.64x = 407.49 × 88.97
  4. Step 4: Simplify right side
    271.64x = 36,254.39
  5. Step 5: Solve for x
    x = 36,254.39/271.64
  6. Step 6: Final answer
    x = 133.46

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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.