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Finding the Fourth Proportional to 472.70, 709.07 and 148.07

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Solution

The fourth proportional to 472.70, 709.07 and 148.07 is: 222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.70 : 709.07 = 148.07 : x
  2. Step 2: Convert to fraction form
    472.70/709.07 = 148.07/x
  3. Step 3: Cross multiply
    472.70x = 709.07 × 148.07
  4. Step 4: Simplify right side
    472.70x = 104,991.99
  5. Step 5: Solve for x
    x = 104,991.99/472.70
  6. Step 6: Final answer
    x = 222.11

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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.