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Finding the Fourth Proportional to 315.96, 474.16 and 110.53

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Solution

The fourth proportional to 315.96, 474.16 and 110.53 is: 165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 474.16 = 110.53 : x
  2. Step 2: Convert to fraction form
    315.96/474.16 = 110.53/x
  3. Step 3: Cross multiply
    315.96x = 474.16 × 110.53
  4. Step 4: Simplify right side
    315.96x = 52,410.76
  5. Step 5: Solve for x
    x = 52,410.76/315.96
  6. Step 6: Final answer
    x = 165.88

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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.