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Finding the Fourth Proportional to 377.52, 566.40 and 172.24

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Solution

The fourth proportional to 377.52, 566.40 and 172.24 is: 258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.52 : 566.40 = 172.24 : x
  2. Step 2: Convert to fraction form
    377.52/566.40 = 172.24/x
  3. Step 3: Cross multiply
    377.52x = 566.40 × 172.24
  4. Step 4: Simplify right side
    377.52x = 97,556.74
  5. Step 5: Solve for x
    x = 97,556.74/377.52
  6. Step 6: Final answer
    x = 258.41

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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.