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Finding the Fourth Proportional to 295.05, 407.17 and 164.06

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Solution

The fourth proportional to 295.05, 407.17 and 164.06 is: 226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.05 : 407.17 = 164.06 : x
  2. Step 2: Convert to fraction form
    295.05/407.17 = 164.06/x
  3. Step 3: Cross multiply
    295.05x = 407.17 × 164.06
  4. Step 4: Simplify right side
    295.05x = 66,800.31
  5. Step 5: Solve for x
    x = 66,800.31/295.05
  6. Step 6: Final answer
    x = 226.40

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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.