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Finding the Fourth Proportional to 207.52, 312.32 and 184

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Solution

The fourth proportional to 207.52, 312.32 and 184 is: 276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.52 : 312.32 = 184 : x
  2. Step 2: Convert to fraction form
    207.52/312.32 = 184/x
  3. Step 3: Cross multiply
    207.52x = 312.32 × 184
  4. Step 4: Simplify right side
    207.52x = 57,466.88
  5. Step 5: Solve for x
    x = 57,466.88/207.52
  6. Step 6: Final answer
    x = 276.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.