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Finding the Fourth Proportional to 257.04, 385.64 and 120.16

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Solution

The fourth proportional to 257.04, 385.64 and 120.16 is: 180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.04 : 385.64 = 120.16 : x
  2. Step 2: Convert to fraction form
    257.04/385.64 = 120.16/x
  3. Step 3: Cross multiply
    257.04x = 385.64 × 120.16
  4. Step 4: Simplify right side
    257.04x = 46,338.50
  5. Step 5: Solve for x
    x = 46,338.50/257.04
  6. Step 6: Final answer
    x = 180.28

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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.