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Finding the Fourth Proportional to 315.93, 473.76 and 110.46

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Solution

The fourth proportional to 315.93, 473.76 and 110.46 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.93 : 473.76 = 110.46 : x
  2. Step 2: Convert to fraction form
    315.93/473.76 = 110.46/x
  3. Step 3: Cross multiply
    315.93x = 473.76 × 110.46
  4. Step 4: Simplify right side
    315.93x = 52,331.53
  5. Step 5: Solve for x
    x = 52,331.53/315.93
  6. Step 6: Final answer
    x = 165.64

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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.