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Finding the Fourth Proportional to 369.53, 509.90 and 212.18

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Solution

The fourth proportional to 369.53, 509.90 and 212.18 is: 292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.53 : 509.90 = 212.18 : x
  2. Step 2: Convert to fraction form
    369.53/509.90 = 212.18/x
  3. Step 3: Cross multiply
    369.53x = 509.90 × 212.18
  4. Step 4: Simplify right side
    369.53x = 108,186.97
  5. Step 5: Solve for x
    x = 108,186.97/369.53
  6. Step 6: Final answer
    x = 292.77

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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.