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Finding the Fourth Proportional to 164.59, 245.76 and 144.92

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Solution

The fourth proportional to 164.59, 245.76 and 144.92 is: 216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.59 : 245.76 = 144.92 : x
  2. Step 2: Convert to fraction form
    164.59/245.76 = 144.92/x
  3. Step 3: Cross multiply
    164.59x = 245.76 × 144.92
  4. Step 4: Simplify right side
    164.59x = 35,615.54
  5. Step 5: Solve for x
    x = 35,615.54/164.59
  6. Step 6: Final answer
    x = 216.39

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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.