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Finding the Fourth Proportional to 164.52, 246.76 and 100.40

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Solution

The fourth proportional to 164.52, 246.76 and 100.40 is: 150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.52 : 246.76 = 100.40 : x
  2. Step 2: Convert to fraction form
    164.52/246.76 = 100.40/x
  3. Step 3: Cross multiply
    164.52x = 246.76 × 100.40
  4. Step 4: Simplify right side
    164.52x = 24,774.70
  5. Step 5: Solve for x
    x = 24,774.70/164.52
  6. Step 6: Final answer
    x = 150.59

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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.