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Finding the Fourth Proportional to 503.46, 754.72 and 195.51

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Solution

The fourth proportional to 503.46, 754.72 and 195.51 is: 293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.46 : 754.72 = 195.51 : x
  2. Step 2: Convert to fraction form
    503.46/754.72 = 195.51/x
  3. Step 3: Cross multiply
    503.46x = 754.72 × 195.51
  4. Step 4: Simplify right side
    503.46x = 147,554.82
  5. Step 5: Solve for x
    x = 147,554.82/503.46
  6. Step 6: Final answer
    x = 293.08

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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.