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Finding the Fourth Proportional to 310.40, 465.71 and 148.09

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Solution

The fourth proportional to 310.40, 465.71 and 148.09 is: 222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.40 : 465.71 = 148.09 : x
  2. Step 2: Convert to fraction form
    310.40/465.71 = 148.09/x
  3. Step 3: Cross multiply
    310.40x = 465.71 × 148.09
  4. Step 4: Simplify right side
    310.40x = 68,965.09
  5. Step 5: Solve for x
    x = 68,965.09/310.40
  6. Step 6: Final answer
    x = 222.18

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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.