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Finding the Fourth Proportional to 310.23, 465.06 and 178.66

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Solution

The fourth proportional to 310.23, 465.06 and 178.66 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.23 : 465.06 = 178.66 : x
  2. Step 2: Convert to fraction form
    310.23/465.06 = 178.66/x
  3. Step 3: Cross multiply
    310.23x = 465.06 × 178.66
  4. Step 4: Simplify right side
    310.23x = 83,085.25
  5. Step 5: Solve for x
    x = 83,085.25/310.23
  6. Step 6: Final answer
    x = 267.82

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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.