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Finding the Fourth Proportional to 369.82, 510.40 and 222.48

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Solution

The fourth proportional to 369.82, 510.40 and 222.48 is: 307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.82 : 510.40 = 222.48 : x
  2. Step 2: Convert to fraction form
    369.82/510.40 = 222.48/x
  3. Step 3: Cross multiply
    369.82x = 510.40 × 222.48
  4. Step 4: Simplify right side
    369.82x = 113,554.07
  5. Step 5: Solve for x
    x = 113,554.07/369.82
  6. Step 6: Final answer
    x = 307.06

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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.