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Finding the Fourth Proportional to 290.59, 401.15 and 180.13

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Solution

The fourth proportional to 290.59, 401.15 and 180.13 is: 248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.59 : 401.15 = 180.13 : x
  2. Step 2: Convert to fraction form
    290.59/401.15 = 180.13/x
  3. Step 3: Cross multiply
    290.59x = 401.15 × 180.13
  4. Step 4: Simplify right side
    290.59x = 72,259.15
  5. Step 5: Solve for x
    x = 72,259.15/290.59
  6. Step 6: Final answer
    x = 248.66

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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.