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Finding the Fourth Proportional to 271.17, 406.65 and 117

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Solution

The fourth proportional to 271.17, 406.65 and 117 is: 175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.17 : 406.65 = 117 : x
  2. Step 2: Convert to fraction form
    271.17/406.65 = 117/x
  3. Step 3: Cross multiply
    271.17x = 406.65 × 117
  4. Step 4: Simplify right side
    271.17x = 47,578.05
  5. Step 5: Solve for x
    x = 47,578.05/271.17
  6. Step 6: Final answer
    x = 175.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.