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Finding the Fourth Proportional to 314.46, 471.78 and 160.35

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Solution

The fourth proportional to 314.46, 471.78 and 160.35 is: 240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.46 : 471.78 = 160.35 : x
  2. Step 2: Convert to fraction form
    314.46/471.78 = 160.35/x
  3. Step 3: Cross multiply
    314.46x = 471.78 × 160.35
  4. Step 4: Simplify right side
    314.46x = 75,649.92
  5. Step 5: Solve for x
    x = 75,649.92/314.46
  6. Step 6: Final answer
    x = 240.57

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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.