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Finding the Fourth Proportional to 503.40, 754.94 and 195.20

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Solution

The fourth proportional to 503.40, 754.94 and 195.20 is: 292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.40 : 754.94 = 195.20 : x
  2. Step 2: Convert to fraction form
    503.40/754.94 = 195.20/x
  3. Step 3: Cross multiply
    503.40x = 754.94 × 195.20
  4. Step 4: Simplify right side
    503.40x = 147,364.29
  5. Step 5: Solve for x
    x = 147,364.29/503.40
  6. Step 6: Final answer
    x = 292.74

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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.