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Finding the Fourth Proportional to 215.45, 296.98 and 160.10

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Solution

The fourth proportional to 215.45, 296.98 and 160.10 is: 220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.45 : 296.98 = 160.10 : x
  2. Step 2: Convert to fraction form
    215.45/296.98 = 160.10/x
  3. Step 3: Cross multiply
    215.45x = 296.98 × 160.10
  4. Step 4: Simplify right side
    215.45x = 47,544.61
  5. Step 5: Solve for x
    x = 47,544.61/215.45
  6. Step 6: Final answer
    x = 220.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.