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Finding the Fourth Proportional to 229.90, 317.38 and 160.08

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Solution

The fourth proportional to 229.90, 317.38 and 160.08 is: 220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.90 : 317.38 = 160.08 : x
  2. Step 2: Convert to fraction form
    229.90/317.38 = 160.08/x
  3. Step 3: Cross multiply
    229.90x = 317.38 × 160.08
  4. Step 4: Simplify right side
    229.90x = 50,806.19
  5. Step 5: Solve for x
    x = 50,806.19/229.90
  6. Step 6: Final answer
    x = 220.99

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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.