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Finding the Fourth Proportional to 207.28, 310.56 and 180.10

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Solution

The fourth proportional to 207.28, 310.56 and 180.10 is: 269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.28 : 310.56 = 180.10 : x
  2. Step 2: Convert to fraction form
    207.28/310.56 = 180.10/x
  3. Step 3: Cross multiply
    207.28x = 310.56 × 180.10
  4. Step 4: Simplify right side
    207.28x = 55,931.86
  5. Step 5: Solve for x
    x = 55,931.86/207.28
  6. Step 6: Final answer
    x = 269.84

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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.