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Finding the Fourth Proportional to 294.51, 442.23 and 192.04

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Solution

The fourth proportional to 294.51, 442.23 and 192.04 is: 288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.51 : 442.23 = 192.04 : x
  2. Step 2: Convert to fraction form
    294.51/442.23 = 192.04/x
  3. Step 3: Cross multiply
    294.51x = 442.23 × 192.04
  4. Step 4: Simplify right side
    294.51x = 84,925.85
  5. Step 5: Solve for x
    x = 84,925.85/294.51
  6. Step 6: Final answer
    x = 288.36

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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.