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Finding the Fourth Proportional to 243.75, 364.72 and 146.31

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Solution

The fourth proportional to 243.75, 364.72 and 146.31 is: 218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.75 : 364.72 = 146.31 : x
  2. Step 2: Convert to fraction form
    243.75/364.72 = 146.31/x
  3. Step 3: Cross multiply
    243.75x = 364.72 × 146.31
  4. Step 4: Simplify right side
    243.75x = 53,362.18
  5. Step 5: Solve for x
    x = 53,362.18/243.75
  6. Step 6: Final answer
    x = 218.92

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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.