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Finding the Fourth Proportional to 359.51, 495.95 and 212.00

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Solution

The fourth proportional to 359.51, 495.95 and 212.00 is: 292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.51 : 495.95 = 212.00 : x
  2. Step 2: Convert to fraction form
    359.51/495.95 = 212.00/x
  3. Step 3: Cross multiply
    359.51x = 495.95 × 212.00
  4. Step 4: Simplify right side
    359.51x = 105,141.58
  5. Step 5: Solve for x
    x = 105,141.58/359.51
  6. Step 6: Final answer
    x = 292.46

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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.