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Finding the Fourth Proportional to 294.19, 440.95 and 164.25

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Solution

The fourth proportional to 294.19, 440.95 and 164.25 is: 246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.19 : 440.95 = 164.25 : x
  2. Step 2: Convert to fraction form
    294.19/440.95 = 164.25/x
  3. Step 3: Cross multiply
    294.19x = 440.95 × 164.25
  4. Step 4: Simplify right side
    294.19x = 72,424.94
  5. Step 5: Solve for x
    x = 72,424.94/294.19
  6. Step 6: Final answer
    x = 246.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.