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Finding the Fourth Proportional to 315.33, 472.38 and 177.98

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Solution

The fourth proportional to 315.33, 472.38 and 177.98 is: 266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.33 : 472.38 = 177.98 : x
  2. Step 2: Convert to fraction form
    315.33/472.38 = 177.98/x
  3. Step 3: Cross multiply
    315.33x = 472.38 × 177.98
  4. Step 4: Simplify right side
    315.33x = 84,071.83
  5. Step 5: Solve for x
    x = 84,071.83/315.33
  6. Step 6: Final answer
    x = 266.62

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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.