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Finding the Fourth Proportional to 315.46, 473.25 and 110.02

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Solution

The fourth proportional to 315.46, 473.25 and 110.02 is: 165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.46 : 473.25 = 110.02 : x
  2. Step 2: Convert to fraction form
    315.46/473.25 = 110.02/x
  3. Step 3: Cross multiply
    315.46x = 473.25 × 110.02
  4. Step 4: Simplify right side
    315.46x = 52,066.97
  5. Step 5: Solve for x
    x = 52,066.97/315.46
  6. Step 6: Final answer
    x = 165.05

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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.