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Finding the Fourth Proportional to 270.68, 373.40 and 180.98

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Solution

The fourth proportional to 270.68, 373.40 and 180.98 is: 249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.68 : 373.40 = 180.98 : x
  2. Step 2: Convert to fraction form
    270.68/373.40 = 180.98/x
  3. Step 3: Cross multiply
    270.68x = 373.40 × 180.98
  4. Step 4: Simplify right side
    270.68x = 67,577.93
  5. Step 5: Solve for x
    x = 67,577.93/270.68
  6. Step 6: Final answer
    x = 249.66

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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.