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Finding the Fourth Proportional to 318.04, 438.24 and 219.76

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Solution

The fourth proportional to 318.04, 438.24 and 219.76 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.04 : 438.24 = 219.76 : x
  2. Step 2: Convert to fraction form
    318.04/438.24 = 219.76/x
  3. Step 3: Cross multiply
    318.04x = 438.24 × 219.76
  4. Step 4: Simplify right side
    318.04x = 96,307.62
  5. Step 5: Solve for x
    x = 96,307.62/318.04
  6. Step 6: Final answer
    x = 302.82

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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.