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Finding the Fourth Proportional to 318.04, 438.86 and 180.04

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Solution

The fourth proportional to 318.04, 438.86 and 180.04 is: 248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.04 : 438.86 = 180.04 : x
  2. Step 2: Convert to fraction form
    318.04/438.86 = 180.04/x
  3. Step 3: Cross multiply
    318.04x = 438.86 × 180.04
  4. Step 4: Simplify right side
    318.04x = 79,012.35
  5. Step 5: Solve for x
    x = 79,012.35/318.04
  6. Step 6: Final answer
    x = 248.44

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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.