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Finding the Fourth Proportional to 291.65, 402.43 and 165.60

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Solution

The fourth proportional to 291.65, 402.43 and 165.60 is: 228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.65 : 402.43 = 165.60 : x
  2. Step 2: Convert to fraction form
    291.65/402.43 = 165.60/x
  3. Step 3: Cross multiply
    291.65x = 402.43 × 165.60
  4. Step 4: Simplify right side
    291.65x = 66,642.41
  5. Step 5: Solve for x
    x = 66,642.41/291.65
  6. Step 6: Final answer
    x = 228.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.