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Finding the Fourth Proportional to 291.37, 437.06 and 120.25

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Solution

The fourth proportional to 291.37, 437.06 and 120.25 is: 180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.37 : 437.06 = 120.25 : x
  2. Step 2: Convert to fraction form
    291.37/437.06 = 120.25/x
  3. Step 3: Cross multiply
    291.37x = 437.06 × 120.25
  4. Step 4: Simplify right side
    291.37x = 52,555.86
  5. Step 5: Solve for x
    x = 52,555.86/291.37
  6. Step 6: Final answer
    x = 180.38

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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.