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Finding the Fourth Proportional to 294.90, 442.01 and 164.84

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Solution

The fourth proportional to 294.90, 442.01 and 164.84 is: 247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.90 : 442.01 = 164.84 : x
  2. Step 2: Convert to fraction form
    294.90/442.01 = 164.84/x
  3. Step 3: Cross multiply
    294.90x = 442.01 × 164.84
  4. Step 4: Simplify right side
    294.90x = 72,857.89
  5. Step 5: Solve for x
    x = 72,857.89/294.90
  6. Step 6: Final answer
    x = 247.06

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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.