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Finding the Fourth Proportional to 225.84, 311.65 and 127.60

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Solution

The fourth proportional to 225.84, 311.65 and 127.60 is: 176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 311.65 = 127.60 : x
  2. Step 2: Convert to fraction form
    225.84/311.65 = 127.60/x
  3. Step 3: Cross multiply
    225.84x = 311.65 × 127.60
  4. Step 4: Simplify right side
    225.84x = 39,766.32
  5. Step 5: Solve for x
    x = 39,766.32/225.84
  6. Step 6: Final answer
    x = 176.08

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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.