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Finding the Fourth Proportional to 208.57, 287.96 and 130.00

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Solution

The fourth proportional to 208.57, 287.96 and 130.00 is: 179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.57 : 287.96 = 130.00 : x
  2. Step 2: Convert to fraction form
    208.57/287.96 = 130.00/x
  3. Step 3: Cross multiply
    208.57x = 287.96 × 130.00
  4. Step 4: Simplify right side
    208.57x = 37,432.71
  5. Step 5: Solve for x
    x = 37,432.71/208.57
  6. Step 6: Final answer
    x = 179.48

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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.