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Finding the Fourth Proportional to 310, 465.11 and 127.36

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Solution

The fourth proportional to 310, 465.11 and 127.36 is: 191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310 : 465.11 = 127.36 : x
  2. Step 2: Convert to fraction form
    310/465.11 = 127.36/x
  3. Step 3: Cross multiply
    310x = 465.11 × 127.36
  4. Step 4: Simplify right side
    310x = 59,236.41
  5. Step 5: Solve for x
    x = 59,236.41/310
  6. Step 6: Final answer
    x = 191.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.