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Finding the Fourth Proportional to 291.54, 437.36 and 120.50

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Solution

The fourth proportional to 291.54, 437.36 and 120.50 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.54 : 437.36 = 120.50 : x
  2. Step 2: Convert to fraction form
    291.54/437.36 = 120.50/x
  3. Step 3: Cross multiply
    291.54x = 437.36 × 120.50
  4. Step 4: Simplify right side
    291.54x = 52,701.88
  5. Step 5: Solve for x
    x = 52,701.88/291.54
  6. Step 6: Final answer
    x = 180.77

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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.