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Finding the Fourth Proportional to 208.52, 287.52 and 175.64

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Solution

The fourth proportional to 208.52, 287.52 and 175.64 is: 242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.52 : 287.52 = 175.64 : x
  2. Step 2: Convert to fraction form
    208.52/287.52 = 175.64/x
  3. Step 3: Cross multiply
    208.52x = 287.52 × 175.64
  4. Step 4: Simplify right side
    208.52x = 50,500.01
  5. Step 5: Solve for x
    x = 50,500.01/208.52
  6. Step 6: Final answer
    x = 242.18

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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.