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Finding the Fourth Proportional to 611.02, 916.70 and 200.14

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Solution

The fourth proportional to 611.02, 916.70 and 200.14 is: 300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.02 : 916.70 = 200.14 : x
  2. Step 2: Convert to fraction form
    611.02/916.70 = 200.14/x
  3. Step 3: Cross multiply
    611.02x = 916.70 × 200.14
  4. Step 4: Simplify right side
    611.02x = 183,468.34
  5. Step 5: Solve for x
    x = 183,468.34/611.02
  6. Step 6: Final answer
    x = 300.27

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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.