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Finding the Fourth Proportional to 291.51, 437.28 and 169.71

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Solution

The fourth proportional to 291.51, 437.28 and 169.71 is: 254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.51 : 437.28 = 169.71 : x
  2. Step 2: Convert to fraction form
    291.51/437.28 = 169.71/x
  3. Step 3: Cross multiply
    291.51x = 437.28 × 169.71
  4. Step 4: Simplify right side
    291.51x = 74,210.79
  5. Step 5: Solve for x
    x = 74,210.79/291.51
  6. Step 6: Final answer
    x = 254.57

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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.