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Finding the Fourth Proportional to 243.75, 364.71 and 152.02

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Solution

The fourth proportional to 243.75, 364.71 and 152.02 is: 227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.75 : 364.71 = 152.02 : x
  2. Step 2: Convert to fraction form
    243.75/364.71 = 152.02/x
  3. Step 3: Cross multiply
    243.75x = 364.71 × 152.02
  4. Step 4: Simplify right side
    243.75x = 55,442.30
  5. Step 5: Solve for x
    x = 55,442.30/243.75
  6. Step 6: Final answer
    x = 227.46

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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.