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Finding the Fourth Proportional to 229.87, 317.27 and 146.95

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Solution

The fourth proportional to 229.87, 317.27 and 146.95 is: 202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.87 : 317.27 = 146.95 : x
  2. Step 2: Convert to fraction form
    229.87/317.27 = 146.95/x
  3. Step 3: Cross multiply
    229.87x = 317.27 × 146.95
  4. Step 4: Simplify right side
    229.87x = 46,622.83
  5. Step 5: Solve for x
    x = 46,622.83/229.87
  6. Step 6: Final answer
    x = 202.82

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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.