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Finding the Fourth Proportional to 187.20, 284.46 and 187.20

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Solution

The fourth proportional to 187.20, 284.46 and 187.20 is: 284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.20 : 284.46 = 187.20 : x
  2. Step 2: Convert to fraction form
    187.20/284.46 = 187.20/x
  3. Step 3: Cross multiply
    187.20x = 284.46 × 187.20
  4. Step 4: Simplify right side
    187.20x = 53,250.91
  5. Step 5: Solve for x
    x = 53,250.91/187.20
  6. Step 6: Final answer
    x = 284.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.