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Finding the Fourth Proportional to 315.29, 473.39 and 178.45

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Solution

The fourth proportional to 315.29, 473.39 and 178.45 is: 267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.29 : 473.39 = 178.45 : x
  2. Step 2: Convert to fraction form
    315.29/473.39 = 178.45/x
  3. Step 3: Cross multiply
    315.29x = 473.39 × 178.45
  4. Step 4: Simplify right side
    315.29x = 84,478.71
  5. Step 5: Solve for x
    x = 84,478.71/315.29
  6. Step 6: Final answer
    x = 267.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.