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Finding the Fourth Proportional to 292.34, 440.51 and 242.09

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Solution

The fourth proportional to 292.34, 440.51 and 242.09 is: 364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.34 : 440.51 = 242.09 : x
  2. Step 2: Convert to fraction form
    292.34/440.51 = 242.09/x
  3. Step 3: Cross multiply
    292.34x = 440.51 × 242.09
  4. Step 4: Simplify right side
    292.34x = 106,639.65
  5. Step 5: Solve for x
    x = 106,639.65/292.34
  6. Step 6: Final answer
    x = 364.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.