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Finding the Fourth Proportional to 164.16, 226.49 and 148.57

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Solution

The fourth proportional to 164.16, 226.49 and 148.57 is: 204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 226.49 = 148.57 : x
  2. Step 2: Convert to fraction form
    164.16/226.49 = 148.57/x
  3. Step 3: Cross multiply
    164.16x = 226.49 × 148.57
  4. Step 4: Simplify right side
    164.16x = 33,649.62
  5. Step 5: Solve for x
    x = 33,649.62/164.16
  6. Step 6: Final answer
    x = 204.98

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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.