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Finding the Fourth Proportional to 318.90, 478.36 and 156.64

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Solution

The fourth proportional to 318.90, 478.36 and 156.64 is: 234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.90 : 478.36 = 156.64 : x
  2. Step 2: Convert to fraction form
    318.90/478.36 = 156.64/x
  3. Step 3: Cross multiply
    318.90x = 478.36 × 156.64
  4. Step 4: Simplify right side
    318.90x = 74,930.31
  5. Step 5: Solve for x
    x = 74,930.31/318.90
  6. Step 6: Final answer
    x = 234.96

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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.