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Finding the Fourth Proportional to 452.23, 678.34 and 127.60

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Solution

The fourth proportional to 452.23, 678.34 and 127.60 is: 191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.23 : 678.34 = 127.60 : x
  2. Step 2: Convert to fraction form
    452.23/678.34 = 127.60/x
  3. Step 3: Cross multiply
    452.23x = 678.34 × 127.60
  4. Step 4: Simplify right side
    452.23x = 86,552.47
  5. Step 5: Solve for x
    x = 86,552.47/452.23
  6. Step 6: Final answer
    x = 191.39

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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.