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Finding the Fourth Proportional to 258.50, 385.06 and 246.86

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Solution

The fourth proportional to 258.50, 385.06 and 246.86 is: 367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.50 : 385.06 = 246.86 : x
  2. Step 2: Convert to fraction form
    258.50/385.06 = 246.86/x
  3. Step 3: Cross multiply
    258.50x = 385.06 × 246.86
  4. Step 4: Simplify right side
    258.50x = 95,055.91
  5. Step 5: Solve for x
    x = 95,055.91/258.50
  6. Step 6: Final answer
    x = 367.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.