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Finding the Fourth Proportional to 291.76, 437.65 and 137.54

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Solution

The fourth proportional to 291.76, 437.65 and 137.54 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.76 : 437.65 = 137.54 : x
  2. Step 2: Convert to fraction form
    291.76/437.65 = 137.54/x
  3. Step 3: Cross multiply
    291.76x = 437.65 × 137.54
  4. Step 4: Simplify right side
    291.76x = 60,195.13
  5. Step 5: Solve for x
    x = 60,195.13/291.76
  6. Step 6: Final answer
    x = 206.32

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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.