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Finding the Fourth Proportional to 369.42, 509.85 and 214.14

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Solution

The fourth proportional to 369.42, 509.85 and 214.14 is: 295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.42 : 509.85 = 214.14 : x
  2. Step 2: Convert to fraction form
    369.42/509.85 = 214.14/x
  3. Step 3: Cross multiply
    369.42x = 509.85 × 214.14
  4. Step 4: Simplify right side
    369.42x = 109,179.28
  5. Step 5: Solve for x
    x = 109,179.28/369.42
  6. Step 6: Final answer
    x = 295.54

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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.