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Finding the Fourth Proportional to 225.14, 310.58 and 142.19

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Solution

The fourth proportional to 225.14, 310.58 and 142.19 is: 196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.14 : 310.58 = 142.19 : x
  2. Step 2: Convert to fraction form
    225.14/310.58 = 142.19/x
  3. Step 3: Cross multiply
    225.14x = 310.58 × 142.19
  4. Step 4: Simplify right side
    225.14x = 44,160.66
  5. Step 5: Solve for x
    x = 44,160.66/225.14
  6. Step 6: Final answer
    x = 196.15

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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.