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Finding the Fourth Proportional to 315.70, 473.54 and 171.38

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Solution

The fourth proportional to 315.70, 473.54 and 171.38 is: 257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.70 : 473.54 = 171.38 : x
  2. Step 2: Convert to fraction form
    315.70/473.54 = 171.38/x
  3. Step 3: Cross multiply
    315.70x = 473.54 × 171.38
  4. Step 4: Simplify right side
    315.70x = 81,155.29
  5. Step 5: Solve for x
    x = 81,155.29/315.70
  6. Step 6: Final answer
    x = 257.06

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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.