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Finding the Fourth Proportional to 291.08, 401.64 and 166.70

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Solution

The fourth proportional to 291.08, 401.64 and 166.70 is: 230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.08 : 401.64 = 166.70 : x
  2. Step 2: Convert to fraction form
    291.08/401.64 = 166.70/x
  3. Step 3: Cross multiply
    291.08x = 401.64 × 166.70
  4. Step 4: Simplify right side
    291.08x = 66,953.39
  5. Step 5: Solve for x
    x = 66,953.39/291.08
  6. Step 6: Final answer
    x = 230.02

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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.