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Finding the Fourth Proportional to 292.92, 440.04 and 242.34

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Solution

The fourth proportional to 292.92, 440.04 and 242.34 is: 364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.92 : 440.04 = 242.34 : x
  2. Step 2: Convert to fraction form
    292.92/440.04 = 242.34/x
  3. Step 3: Cross multiply
    292.92x = 440.04 × 242.34
  4. Step 4: Simplify right side
    292.92x = 106,639.29
  5. Step 5: Solve for x
    x = 106,639.29/292.92
  6. Step 6: Final answer
    x = 364.06

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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.