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Finding the Fourth Proportional to 291.72, 437.86 and 183.58

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Solution

The fourth proportional to 291.72, 437.86 and 183.58 is: 275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.72 : 437.86 = 183.58 : x
  2. Step 2: Convert to fraction form
    291.72/437.86 = 183.58/x
  3. Step 3: Cross multiply
    291.72x = 437.86 × 183.58
  4. Step 4: Simplify right side
    291.72x = 80,382.34
  5. Step 5: Solve for x
    x = 80,382.34/291.72
  6. Step 6: Final answer
    x = 275.55

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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.