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Finding the Fourth Proportional to 292.66, 404.14 and 218.84

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Solution

The fourth proportional to 292.66, 404.14 and 218.84 is: 302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.66 : 404.14 = 218.84 : x
  2. Step 2: Convert to fraction form
    292.66/404.14 = 218.84/x
  3. Step 3: Cross multiply
    292.66x = 404.14 × 218.84
  4. Step 4: Simplify right side
    292.66x = 88,442.00
  5. Step 5: Solve for x
    x = 88,442.00/292.66
  6. Step 6: Final answer
    x = 302.20

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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.