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Finding the Fourth Proportional to 508.42, 762.84 and 184

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Solution

The fourth proportional to 508.42, 762.84 and 184 is: 276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.42 : 762.84 = 184 : x
  2. Step 2: Convert to fraction form
    508.42/762.84 = 184/x
  3. Step 3: Cross multiply
    508.42x = 762.84 × 184
  4. Step 4: Simplify right side
    508.42x = 140,362.56
  5. Step 5: Solve for x
    x = 140,362.56/508.42
  6. Step 6: Final answer
    x = 276.08

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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.