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Finding the Fourth Proportional to 315.70, 472.10 and 178.07

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Solution

The fourth proportional to 315.70, 472.10 and 178.07 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.70 : 472.10 = 178.07 : x
  2. Step 2: Convert to fraction form
    315.70/472.10 = 178.07/x
  3. Step 3: Cross multiply
    315.70x = 472.10 × 178.07
  4. Step 4: Simplify right side
    315.70x = 84,063.60
  5. Step 5: Solve for x
    x = 84,063.60/315.70
  6. Step 6: Final answer
    x = 266.28

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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.