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Finding the Fourth Proportional to 304.98, 420.63 and 200.06

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Solution

The fourth proportional to 304.98, 420.63 and 200.06 is: 275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.98 : 420.63 = 200.06 : x
  2. Step 2: Convert to fraction form
    304.98/420.63 = 200.06/x
  3. Step 3: Cross multiply
    304.98x = 420.63 × 200.06
  4. Step 4: Simplify right side
    304.98x = 84,151.24
  5. Step 5: Solve for x
    x = 84,151.24/304.98
  6. Step 6: Final answer
    x = 275.92

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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.