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Finding the Fourth Proportional to 358.88, 495.65 and 242.24

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Solution

The fourth proportional to 358.88, 495.65 and 242.24 is: 334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.88 : 495.65 = 242.24 : x
  2. Step 2: Convert to fraction form
    358.88/495.65 = 242.24/x
  3. Step 3: Cross multiply
    358.88x = 495.65 × 242.24
  4. Step 4: Simplify right side
    358.88x = 120,064.38
  5. Step 5: Solve for x
    x = 120,064.38/358.88
  6. Step 6: Final answer
    x = 334.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.