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Finding the Fourth Proportional to 243.52, 364.88 and 152.24

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Solution

The fourth proportional to 243.52, 364.88 and 152.24 is: 228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.52 : 364.88 = 152.24 : x
  2. Step 2: Convert to fraction form
    243.52/364.88 = 152.24/x
  3. Step 3: Cross multiply
    243.52x = 364.88 × 152.24
  4. Step 4: Simplify right side
    243.52x = 55,549.33
  5. Step 5: Solve for x
    x = 55,549.33/243.52
  6. Step 6: Final answer
    x = 228.11

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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.