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Finding the Fourth Proportional to 370.64, 511.52 and 204.86

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Solution

The fourth proportional to 370.64, 511.52 and 204.86 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.64 : 511.52 = 204.86 : x
  2. Step 2: Convert to fraction form
    370.64/511.52 = 204.86/x
  3. Step 3: Cross multiply
    370.64x = 511.52 × 204.86
  4. Step 4: Simplify right side
    370.64x = 104,786.41
  5. Step 5: Solve for x
    x = 104,786.41/370.64
  6. Step 6: Final answer
    x = 282.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.