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Finding the Fourth Proportional to 271.70, 407.14 and 117.55

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Solution

The fourth proportional to 271.70, 407.14 and 117.55 is: 176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.70 : 407.14 = 117.55 : x
  2. Step 2: Convert to fraction form
    271.70/407.14 = 117.55/x
  3. Step 3: Cross multiply
    271.70x = 407.14 × 117.55
  4. Step 4: Simplify right side
    271.70x = 47,859.31
  5. Step 5: Solve for x
    x = 47,859.31/271.70
  6. Step 6: Final answer
    x = 176.15

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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.