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Finding the Fourth Proportional to 369.78, 510.23 and 212.35

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Solution

The fourth proportional to 369.78, 510.23 and 212.35 is: 293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 510.23 = 212.35 : x
  2. Step 2: Convert to fraction form
    369.78/510.23 = 212.35/x
  3. Step 3: Cross multiply
    369.78x = 510.23 × 212.35
  4. Step 4: Simplify right side
    369.78x = 108,347.57
  5. Step 5: Solve for x
    x = 108,347.57/369.78
  6. Step 6: Final answer
    x = 293.01

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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.