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Finding the Fourth Proportional to 291.16, 401.68 and 180.44

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Solution

The fourth proportional to 291.16, 401.68 and 180.44 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.16 : 401.68 = 180.44 : x
  2. Step 2: Convert to fraction form
    291.16/401.68 = 180.44/x
  3. Step 3: Cross multiply
    291.16x = 401.68 × 180.44
  4. Step 4: Simplify right side
    291.16x = 72,479.14
  5. Step 5: Solve for x
    x = 72,479.14/291.16
  6. Step 6: Final answer
    x = 248.93

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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.