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Finding the Fourth Proportional to 291.79, 437.59 and 137.58

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Solution

The fourth proportional to 291.79, 437.59 and 137.58 is: 206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.79 : 437.59 = 137.58 : x
  2. Step 2: Convert to fraction form
    291.79/437.59 = 137.58/x
  3. Step 3: Cross multiply
    291.79x = 437.59 × 137.58
  4. Step 4: Simplify right side
    291.79x = 60,203.63
  5. Step 5: Solve for x
    x = 60,203.63/291.79
  6. Step 6: Final answer
    x = 206.33

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