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Finding the Fourth Proportional to 291.19, 401.83 and 158.40

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Solution

The fourth proportional to 291.19, 401.83 and 158.40 is: 218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.19 : 401.83 = 158.40 : x
  2. Step 2: Convert to fraction form
    291.19/401.83 = 158.40/x
  3. Step 3: Cross multiply
    291.19x = 401.83 × 158.40
  4. Step 4: Simplify right side
    291.19x = 63,649.87
  5. Step 5: Solve for x
    x = 63,649.87/291.19
  6. Step 6: Final answer
    x = 218.59

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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.