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Finding the Fourth Proportional to 225.39, 311.01 and 127.14

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Solution

The fourth proportional to 225.39, 311.01 and 127.14 is: 175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.39 : 311.01 = 127.14 : x
  2. Step 2: Convert to fraction form
    225.39/311.01 = 127.14/x
  3. Step 3: Cross multiply
    225.39x = 311.01 × 127.14
  4. Step 4: Simplify right side
    225.39x = 39,541.81
  5. Step 5: Solve for x
    x = 39,541.81/225.39
  6. Step 6: Final answer
    x = 175.44

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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.