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Finding the Fourth Proportional to 611.07, 916.75 and 200.24

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Solution

The fourth proportional to 611.07, 916.75 and 200.24 is: 300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.07 : 916.75 = 200.24 : x
  2. Step 2: Convert to fraction form
    611.07/916.75 = 200.24/x
  3. Step 3: Cross multiply
    611.07x = 916.75 × 200.24
  4. Step 4: Simplify right side
    611.07x = 183,570.02
  5. Step 5: Solve for x
    x = 183,570.02/611.07
  6. Step 6: Final answer
    x = 300.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.