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Finding the Fourth Proportional to 182.64, 275.10 and 166.51

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Solution

The fourth proportional to 182.64, 275.10 and 166.51 is: 250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.64 : 275.10 = 166.51 : x
  2. Step 2: Convert to fraction form
    182.64/275.10 = 166.51/x
  3. Step 3: Cross multiply
    182.64x = 275.10 × 166.51
  4. Step 4: Simplify right side
    182.64x = 45,807.45
  5. Step 5: Solve for x
    x = 45,807.45/182.64
  6. Step 6: Final answer
    x = 250.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.