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Finding the Fourth Proportional to 207.32, 310.98 and 180.59

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Solution

The fourth proportional to 207.32, 310.98 and 180.59 is: 270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.32 : 310.98 = 180.59 : x
  2. Step 2: Convert to fraction form
    207.32/310.98 = 180.59/x
  3. Step 3: Cross multiply
    207.32x = 310.98 × 180.59
  4. Step 4: Simplify right side
    207.32x = 56,159.88
  5. Step 5: Solve for x
    x = 56,159.88/207.32
  6. Step 6: Final answer
    x = 270.89

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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.