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Finding the Fourth Proportional to 377.67, 565.86 and 203.91

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Solution

The fourth proportional to 377.67, 565.86 and 203.91 is: 305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.67 : 565.86 = 203.91 : x
  2. Step 2: Convert to fraction form
    377.67/565.86 = 203.91/x
  3. Step 3: Cross multiply
    377.67x = 565.86 × 203.91
  4. Step 4: Simplify right side
    377.67x = 115,384.51
  5. Step 5: Solve for x
    x = 115,384.51/377.67
  6. Step 6: Final answer
    x = 305.52

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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.