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Finding the Fourth Proportional to 472.02, 708.07 and 159.66

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Solution

The fourth proportional to 472.02, 708.07 and 159.66 is: 239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 708.07 = 159.66 : x
  2. Step 2: Convert to fraction form
    472.02/708.07 = 159.66/x
  3. Step 3: Cross multiply
    472.02x = 708.07 × 159.66
  4. Step 4: Simplify right side
    472.02x = 113,047.10
  5. Step 5: Solve for x
    x = 113,047.10/472.02
  6. Step 6: Final answer
    x = 239.50

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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.