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Finding the Fourth Proportional to 229.90, 317.33 and 147.23

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Solution

The fourth proportional to 229.90, 317.33 and 147.23 is: 203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.90 : 317.33 = 147.23 : x
  2. Step 2: Convert to fraction form
    229.90/317.33 = 147.23/x
  3. Step 3: Cross multiply
    229.90x = 317.33 × 147.23
  4. Step 4: Simplify right side
    229.90x = 46,719.85
  5. Step 5: Solve for x
    x = 46,719.85/229.90
  6. Step 6: Final answer
    x = 203.22

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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.