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Finding the Fourth Proportional to 271.90, 407.73 and 117.82

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Solution

The fourth proportional to 271.90, 407.73 and 117.82 is: 176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.90 : 407.73 = 117.82 : x
  2. Step 2: Convert to fraction form
    271.90/407.73 = 117.82/x
  3. Step 3: Cross multiply
    271.90x = 407.73 × 117.82
  4. Step 4: Simplify right side
    271.90x = 48,038.75
  5. Step 5: Solve for x
    x = 48,038.75/271.90
  6. Step 6: Final answer
    x = 176.68

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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.