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Finding the Fourth Proportional to 180.40, 248.91 and 114.05

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Solution

The fourth proportional to 180.40, 248.91 and 114.05 is: 157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.40 : 248.91 = 114.05 : x
  2. Step 2: Convert to fraction form
    180.40/248.91 = 114.05/x
  3. Step 3: Cross multiply
    180.40x = 248.91 × 114.05
  4. Step 4: Simplify right side
    180.40x = 28,386.94
  5. Step 5: Solve for x
    x = 28,386.94/180.40
  6. Step 6: Final answer
    x = 157.36

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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.