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Finding the Fourth Proportional to 225.30, 310.89 and 142.40

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Solution

The fourth proportional to 225.30, 310.89 and 142.40 is: 196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.30 : 310.89 = 142.40 : x
  2. Step 2: Convert to fraction form
    225.30/310.89 = 142.40/x
  3. Step 3: Cross multiply
    225.30x = 310.89 × 142.40
  4. Step 4: Simplify right side
    225.30x = 44,270.02
  5. Step 5: Solve for x
    x = 44,270.02/225.30
  6. Step 6: Final answer
    x = 196.50

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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.