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Finding the Fourth Proportional to 295.46, 407.71 and 164.46

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Solution

The fourth proportional to 295.46, 407.71 and 164.46 is: 226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.46 : 407.71 = 164.46 : x
  2. Step 2: Convert to fraction form
    295.46/407.71 = 164.46/x
  3. Step 3: Cross multiply
    295.46x = 407.71 × 164.46
  4. Step 4: Simplify right side
    295.46x = 67,051.99
  5. Step 5: Solve for x
    x = 67,051.99/295.46
  6. Step 6: Final answer
    x = 226.94

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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.