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Finding the Fourth Proportional to 291.07, 436.66 and 154.24

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Solution

The fourth proportional to 291.07, 436.66 and 154.24 is: 231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.07 : 436.66 = 154.24 : x
  2. Step 2: Convert to fraction form
    291.07/436.66 = 154.24/x
  3. Step 3: Cross multiply
    291.07x = 436.66 × 154.24
  4. Step 4: Simplify right side
    291.07x = 67,348.96
  5. Step 5: Solve for x
    x = 67,348.96/291.07
  6. Step 6: Final answer
    x = 231.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.