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Finding the Fourth Proportional to 291.58, 402.34 and 165.54

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Solution

The fourth proportional to 291.58, 402.34 and 165.54 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.58 : 402.34 = 165.54 : x
  2. Step 2: Convert to fraction form
    291.58/402.34 = 165.54/x
  3. Step 3: Cross multiply
    291.58x = 402.34 × 165.54
  4. Step 4: Simplify right side
    291.58x = 66,603.54
  5. Step 5: Solve for x
    x = 66,603.54/291.58
  6. Step 6: Final answer
    x = 228.42

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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.