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Finding the Fourth Proportional to 369.82, 510.34 and 214.57

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Solution

The fourth proportional to 369.82, 510.34 and 214.57 is: 296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.82 : 510.34 = 214.57 : x
  2. Step 2: Convert to fraction form
    369.82/510.34 = 214.57/x
  3. Step 3: Cross multiply
    369.82x = 510.34 × 214.57
  4. Step 4: Simplify right side
    369.82x = 109,501.10
  5. Step 5: Solve for x
    x = 109,501.10/369.82
  6. Step 6: Final answer
    x = 296.10

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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.