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Finding the Fourth Proportional to 315.06, 472.71 and 141.80

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Solution

The fourth proportional to 315.06, 472.71 and 141.80 is: 212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.06 : 472.71 = 141.80 : x
  2. Step 2: Convert to fraction form
    315.06/472.71 = 141.80/x
  3. Step 3: Cross multiply
    315.06x = 472.71 × 141.80
  4. Step 4: Simplify right side
    315.06x = 67,030.71
  5. Step 5: Solve for x
    x = 67,030.71/315.06
  6. Step 6: Final answer
    x = 212.75

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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.