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Finding the Fourth Proportional to 290.66, 401.10 and 180.14

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Solution

The fourth proportional to 290.66, 401.10 and 180.14 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.66 : 401.10 = 180.14 : x
  2. Step 2: Convert to fraction form
    290.66/401.10 = 180.14/x
  3. Step 3: Cross multiply
    290.66x = 401.10 × 180.14
  4. Step 4: Simplify right side
    290.66x = 72,254.15
  5. Step 5: Solve for x
    x = 72,254.15/290.66
  6. Step 6: Final answer
    x = 248.59

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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.