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Finding the Fourth Proportional to 417.06, 625.77 and 160.50

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Solution

The fourth proportional to 417.06, 625.77 and 160.50 is: 240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.06 : 625.77 = 160.50 : x
  2. Step 2: Convert to fraction form
    417.06/625.77 = 160.50/x
  3. Step 3: Cross multiply
    417.06x = 625.77 × 160.50
  4. Step 4: Simplify right side
    417.06x = 100,436.09
  5. Step 5: Solve for x
    x = 100,436.09/417.06
  6. Step 6: Final answer
    x = 240.82

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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.