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Finding the Fourth Proportional to 377.14, 565.71 and 171.77

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Solution

The fourth proportional to 377.14, 565.71 and 171.77 is: 257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.14 : 565.71 = 171.77 : x
  2. Step 2: Convert to fraction form
    377.14/565.71 = 171.77/x
  3. Step 3: Cross multiply
    377.14x = 565.71 × 171.77
  4. Step 4: Simplify right side
    377.14x = 97,172.01
  5. Step 5: Solve for x
    x = 97,172.01/377.14
  6. Step 6: Final answer
    x = 257.66

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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.