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Finding the Fourth Proportional to 647.66, 971.49 and 160.71

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Solution

The fourth proportional to 647.66, 971.49 and 160.71 is: 241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.66 : 971.49 = 160.71 : x
  2. Step 2: Convert to fraction form
    647.66/971.49 = 160.71/x
  3. Step 3: Cross multiply
    647.66x = 971.49 × 160.71
  4. Step 4: Simplify right side
    647.66x = 156,128.16
  5. Step 5: Solve for x
    x = 156,128.16/647.66
  6. Step 6: Final answer
    x = 241.07

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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.