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Finding the Fourth Proportional to 369.66, 510.12 and 214.41

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Solution

The fourth proportional to 369.66, 510.12 and 214.41 is: 295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.66 : 510.12 = 214.41 : x
  2. Step 2: Convert to fraction form
    369.66/510.12 = 214.41/x
  3. Step 3: Cross multiply
    369.66x = 510.12 × 214.41
  4. Step 4: Simplify right side
    369.66x = 109,374.83
  5. Step 5: Solve for x
    x = 109,374.83/369.66
  6. Step 6: Final answer
    x = 295.88

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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.