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Finding the Fourth Proportional to 364.16, 546.35 and 248.43

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Solution

The fourth proportional to 364.16, 546.35 and 248.43 is: 372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.16 : 546.35 = 248.43 : x
  2. Step 2: Convert to fraction form
    364.16/546.35 = 248.43/x
  3. Step 3: Cross multiply
    364.16x = 546.35 × 248.43
  4. Step 4: Simplify right side
    364.16x = 135,728.49
  5. Step 5: Solve for x
    x = 135,728.49/364.16
  6. Step 6: Final answer
    x = 372.72

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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.