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Finding the Fourth Proportional to 647.17, 970.75 and 160.22

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Solution

The fourth proportional to 647.17, 970.75 and 160.22 is: 240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.17 : 970.75 = 160.22 : x
  2. Step 2: Convert to fraction form
    647.17/970.75 = 160.22/x
  3. Step 3: Cross multiply
    647.17x = 970.75 × 160.22
  4. Step 4: Simplify right side
    647.17x = 155,533.57
  5. Step 5: Solve for x
    x = 155,533.57/647.17
  6. Step 6: Final answer
    x = 240.33

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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.