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Finding the Fourth Proportional to 377.02, 565.29 and 133.45

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Solution

The fourth proportional to 377.02, 565.29 and 133.45 is: 200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.02 : 565.29 = 133.45 : x
  2. Step 2: Convert to fraction form
    377.02/565.29 = 133.45/x
  3. Step 3: Cross multiply
    377.02x = 565.29 × 133.45
  4. Step 4: Simplify right side
    377.02x = 75,437.95
  5. Step 5: Solve for x
    x = 75,437.95/377.02
  6. Step 6: Final answer
    x = 200.09

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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.