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Finding the Fourth Proportional to 254.06, 383.18 and 245.85

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Solution

The fourth proportional to 254.06, 383.18 and 245.85 is: 370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.06 : 383.18 = 245.85 : x
  2. Step 2: Convert to fraction form
    254.06/383.18 = 245.85/x
  3. Step 3: Cross multiply
    254.06x = 383.18 × 245.85
  4. Step 4: Simplify right side
    254.06x = 94,204.80
  5. Step 5: Solve for x
    x = 94,204.80/254.06
  6. Step 6: Final answer
    x = 370.80

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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.