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Finding the Fourth Proportional to 225.02, 310.55 and 126.80

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Solution

The fourth proportional to 225.02, 310.55 and 126.80 is: 175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.02 : 310.55 = 126.80 : x
  2. Step 2: Convert to fraction form
    225.02/310.55 = 126.80/x
  3. Step 3: Cross multiply
    225.02x = 310.55 × 126.80
  4. Step 4: Simplify right side
    225.02x = 39,377.74
  5. Step 5: Solve for x
    x = 39,377.74/225.02
  6. Step 6: Final answer
    x = 175.00

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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.