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Finding the Fourth Proportional to 208.64, 312.64 and 180

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Solution

The fourth proportional to 208.64, 312.64 and 180 is: 269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 312.64 = 180 : x
  2. Step 2: Convert to fraction form
    208.64/312.64 = 180/x
  3. Step 3: Cross multiply
    208.64x = 312.64 × 180
  4. Step 4: Simplify right side
    208.64x = 56,275.20
  5. Step 5: Solve for x
    x = 56,275.20/208.64
  6. Step 6: Final answer
    x = 269.72

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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.