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Finding the Fourth Proportional to 257.58, 385.86 and 120.28

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Solution

The fourth proportional to 257.58, 385.86 and 120.28 is: 180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.58 : 385.86 = 120.28 : x
  2. Step 2: Convert to fraction form
    257.58/385.86 = 120.28/x
  3. Step 3: Cross multiply
    257.58x = 385.86 × 120.28
  4. Step 4: Simplify right side
    257.58x = 46,411.24
  5. Step 5: Solve for x
    x = 46,411.24/257.58
  6. Step 6: Final answer
    x = 180.18

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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.