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Finding the Fourth Proportional to 184.72, 275.64 and 164.26

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Solution

The fourth proportional to 184.72, 275.64 and 164.26 is: 245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.72 : 275.64 = 164.26 : x
  2. Step 2: Convert to fraction form
    184.72/275.64 = 164.26/x
  3. Step 3: Cross multiply
    184.72x = 275.64 × 164.26
  4. Step 4: Simplify right side
    184.72x = 45,276.63
  5. Step 5: Solve for x
    x = 45,276.63/184.72
  6. Step 6: Final answer
    x = 245.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.