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Finding the Fourth Proportional to 294.89, 442.51 and 164.84

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Solution

The fourth proportional to 294.89, 442.51 and 164.84 is: 247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.89 : 442.51 = 164.84 : x
  2. Step 2: Convert to fraction form
    294.89/442.51 = 164.84/x
  3. Step 3: Cross multiply
    294.89x = 442.51 × 164.84
  4. Step 4: Simplify right side
    294.89x = 72,941.65
  5. Step 5: Solve for x
    x = 72,941.65/294.89
  6. Step 6: Final answer
    x = 247.35

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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.