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Finding the Fourth Proportional to 287.60, 397.08 and 189.52

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Solution

The fourth proportional to 287.60, 397.08 and 189.52 is: 261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.60 : 397.08 = 189.52 : x
  2. Step 2: Convert to fraction form
    287.60/397.08 = 189.52/x
  3. Step 3: Cross multiply
    287.60x = 397.08 × 189.52
  4. Step 4: Simplify right side
    287.60x = 75,254.60
  5. Step 5: Solve for x
    x = 75,254.60/287.60
  6. Step 6: Final answer
    x = 261.66

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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.