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Finding the Fourth Proportional to 305.24, 458.01 and 122.76

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Solution

The fourth proportional to 305.24, 458.01 and 122.76 is: 184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 458.01 = 122.76 : x
  2. Step 2: Convert to fraction form
    305.24/458.01 = 122.76/x
  3. Step 3: Cross multiply
    305.24x = 458.01 × 122.76
  4. Step 4: Simplify right side
    305.24x = 56,225.31
  5. Step 5: Solve for x
    x = 56,225.31/305.24
  6. Step 6: Final answer
    x = 184.20

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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.