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Finding the Fourth Proportional to 377.06, 565.25 and 193.93

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Solution

The fourth proportional to 377.06, 565.25 and 193.93 is: 290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 565.25 = 193.93 : x
  2. Step 2: Convert to fraction form
    377.06/565.25 = 193.93/x
  3. Step 3: Cross multiply
    377.06x = 565.25 × 193.93
  4. Step 4: Simplify right side
    377.06x = 109,616.55
  5. Step 5: Solve for x
    x = 109,616.55/377.06
  6. Step 6: Final answer
    x = 290.72

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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.