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Finding the Fourth Proportional to 257.13, 385.83 and 120.06

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Solution

The fourth proportional to 257.13, 385.83 and 120.06 is: 180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.13 : 385.83 = 120.06 : x
  2. Step 2: Convert to fraction form
    257.13/385.83 = 120.06/x
  3. Step 3: Cross multiply
    257.13x = 385.83 × 120.06
  4. Step 4: Simplify right side
    257.13x = 46,322.75
  5. Step 5: Solve for x
    x = 46,322.75/257.13
  6. Step 6: Final answer
    x = 180.15

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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.