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Finding the Fourth Proportional to 254.04, 350.40 and 180.24

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Solution

The fourth proportional to 254.04, 350.40 and 180.24 is: 248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.04 : 350.40 = 180.24 : x
  2. Step 2: Convert to fraction form
    254.04/350.40 = 180.24/x
  3. Step 3: Cross multiply
    254.04x = 350.40 × 180.24
  4. Step 4: Simplify right side
    254.04x = 63,156.10
  5. Step 5: Solve for x
    x = 63,156.10/254.04
  6. Step 6: Final answer
    x = 248.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.