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Finding the Fourth Proportional to 377.68, 566.70 and 172.31

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Solution

The fourth proportional to 377.68, 566.70 and 172.31 is: 258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.68 : 566.70 = 172.31 : x
  2. Step 2: Convert to fraction form
    377.68/566.70 = 172.31/x
  3. Step 3: Cross multiply
    377.68x = 566.70 × 172.31
  4. Step 4: Simplify right side
    377.68x = 97,648.08
  5. Step 5: Solve for x
    x = 97,648.08/377.68
  6. Step 6: Final answer
    x = 258.55

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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.