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Finding the Fourth Proportional to 315.34, 473.28 and 178.52

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Solution

The fourth proportional to 315.34, 473.28 and 178.52 is: 267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.34 : 473.28 = 178.52 : x
  2. Step 2: Convert to fraction form
    315.34/473.28 = 178.52/x
  3. Step 3: Cross multiply
    315.34x = 473.28 × 178.52
  4. Step 4: Simplify right side
    315.34x = 84,489.95
  5. Step 5: Solve for x
    x = 84,489.95/315.34
  6. Step 6: Final answer
    x = 267.93

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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.