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Finding the Fourth Proportional to 229.98, 317.35 and 160.12

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Solution

The fourth proportional to 229.98, 317.35 and 160.12 is: 220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.98 : 317.35 = 160.12 : x
  2. Step 2: Convert to fraction form
    229.98/317.35 = 160.12/x
  3. Step 3: Cross multiply
    229.98x = 317.35 × 160.12
  4. Step 4: Simplify right side
    229.98x = 50,814.08
  5. Step 5: Solve for x
    x = 50,814.08/229.98
  6. Step 6: Final answer
    x = 220.95

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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.