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Finding the Fourth Proportional to 291.47, 436.61 and 169.35

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Solution

The fourth proportional to 291.47, 436.61 and 169.35 is: 253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.47 : 436.61 = 169.35 : x
  2. Step 2: Convert to fraction form
    291.47/436.61 = 169.35/x
  3. Step 3: Cross multiply
    291.47x = 436.61 × 169.35
  4. Step 4: Simplify right side
    291.47x = 73,939.06
  5. Step 5: Solve for x
    x = 73,939.06/291.47
  6. Step 6: Final answer
    x = 253.68

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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.