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Finding the Fourth Proportional to 164.16, 244.42 and 163.35

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Solution

The fourth proportional to 164.16, 244.42 and 163.35 is: 243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 244.42 = 163.35 : x
  2. Step 2: Convert to fraction form
    164.16/244.42 = 163.35/x
  3. Step 3: Cross multiply
    164.16x = 244.42 × 163.35
  4. Step 4: Simplify right side
    164.16x = 39,925.60
  5. Step 5: Solve for x
    x = 39,925.60/164.16
  6. Step 6: Final answer
    x = 243.21

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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.