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Finding the Fourth Proportional to 164.61, 246.57 and 77.82

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Solution

The fourth proportional to 164.61, 246.57 and 77.82 is: 116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.61 : 246.57 = 77.82 : x
  2. Step 2: Convert to fraction form
    164.61/246.57 = 77.82/x
  3. Step 3: Cross multiply
    164.61x = 246.57 × 77.82
  4. Step 4: Simplify right side
    164.61x = 19,188.08
  5. Step 5: Solve for x
    x = 19,188.08/164.61
  6. Step 6: Final answer
    x = 116.57

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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.