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Finding the Fourth Proportional to 377.42, 565.98 and 146.30

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Solution

The fourth proportional to 377.42, 565.98 and 146.30 is: 219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.42 : 565.98 = 146.30 : x
  2. Step 2: Convert to fraction form
    377.42/565.98 = 146.30/x
  3. Step 3: Cross multiply
    377.42x = 565.98 × 146.30
  4. Step 4: Simplify right side
    377.42x = 82,802.87
  5. Step 5: Solve for x
    x = 82,802.87/377.42
  6. Step 6: Final answer
    x = 219.39

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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.