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Finding the Fourth Proportional to 472.78, 709.08 and 148.24

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Solution

The fourth proportional to 472.78, 709.08 and 148.24 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.78 : 709.08 = 148.24 : x
  2. Step 2: Convert to fraction form
    472.78/709.08 = 148.24/x
  3. Step 3: Cross multiply
    472.78x = 709.08 × 148.24
  4. Step 4: Simplify right side
    472.78x = 105,114.02
  5. Step 5: Solve for x
    x = 105,114.02/472.78
  6. Step 6: Final answer
    x = 222.33

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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.