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Finding the Fourth Proportional to 208.57, 312.77 and 117.15

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Solution

The fourth proportional to 208.57, 312.77 and 117.15 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.57 : 312.77 = 117.15 : x
  2. Step 2: Convert to fraction form
    208.57/312.77 = 117.15/x
  3. Step 3: Cross multiply
    208.57x = 312.77 × 117.15
  4. Step 4: Simplify right side
    208.57x = 36,641.01
  5. Step 5: Solve for x
    x = 36,641.01/208.57
  6. Step 6: Final answer
    x = 175.68

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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.