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Finding the Fourth Proportional to 369.88, 510.48 and 214.63

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Solution

The fourth proportional to 369.88, 510.48 and 214.63 is: 296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.88 : 510.48 = 214.63 : x
  2. Step 2: Convert to fraction form
    369.88/510.48 = 214.63/x
  3. Step 3: Cross multiply
    369.88x = 510.48 × 214.63
  4. Step 4: Simplify right side
    369.88x = 109,560.70
  5. Step 5: Solve for x
    x = 109,560.70/369.88
  6. Step 6: Final answer
    x = 296.21

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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.