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Finding the Fourth Proportional to 292.84, 404.20 and 174.86

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Solution

The fourth proportional to 292.84, 404.20 and 174.86 is: 241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.84 : 404.20 = 174.86 : x
  2. Step 2: Convert to fraction form
    292.84/404.20 = 174.86/x
  3. Step 3: Cross multiply
    292.84x = 404.20 × 174.86
  4. Step 4: Simplify right side
    292.84x = 70,678.41
  5. Step 5: Solve for x
    x = 70,678.41/292.84
  6. Step 6: Final answer
    x = 241.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.