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Finding the Fourth Proportional to 207.24, 310.14 and 145.95

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Solution

The fourth proportional to 207.24, 310.14 and 145.95 is: 218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.24 : 310.14 = 145.95 : x
  2. Step 2: Convert to fraction form
    207.24/310.14 = 145.95/x
  3. Step 3: Cross multiply
    207.24x = 310.14 × 145.95
  4. Step 4: Simplify right side
    207.24x = 45,264.93
  5. Step 5: Solve for x
    x = 45,264.93/207.24
  6. Step 6: Final answer
    x = 218.42

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