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Finding the Fourth Proportional to 291.89, 437.45 and 154.64

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Solution

The fourth proportional to 291.89, 437.45 and 154.64 is: 231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.89 : 437.45 = 154.64 : x
  2. Step 2: Convert to fraction form
    291.89/437.45 = 154.64/x
  3. Step 3: Cross multiply
    291.89x = 437.45 × 154.64
  4. Step 4: Simplify right side
    291.89x = 67,648.46
  5. Step 5: Solve for x
    x = 67,648.46/291.89
  6. Step 6: Final answer
    x = 231.76

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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.