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Finding the Fourth Proportional to 164.40, 247.59 and 145.33

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Solution

The fourth proportional to 164.40, 247.59 and 145.33 is: 218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.40 : 247.59 = 145.33 : x
  2. Step 2: Convert to fraction form
    164.40/247.59 = 145.33/x
  3. Step 3: Cross multiply
    164.40x = 247.59 × 145.33
  4. Step 4: Simplify right side
    164.40x = 35,981.64
  5. Step 5: Solve for x
    x = 35,981.64/164.40
  6. Step 6: Final answer
    x = 218.87

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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.