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Finding the Fourth Proportional to 287.55, 430.71 and 178.80

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Solution

The fourth proportional to 287.55, 430.71 and 178.80 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.55 : 430.71 = 178.80 : x
  2. Step 2: Convert to fraction form
    287.55/430.71 = 178.80/x
  3. Step 3: Cross multiply
    287.55x = 430.71 × 178.80
  4. Step 4: Simplify right side
    287.55x = 77,010.05
  5. Step 5: Solve for x
    x = 77,010.05/287.55
  6. Step 6: Final answer
    x = 267.82

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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.