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Finding the Fourth Proportional to 589, 883.50 and 178.14

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Solution

The fourth proportional to 589, 883.50 and 178.14 is: 267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 883.50 = 178.14 : x
  2. Step 2: Convert to fraction form
    589/883.50 = 178.14/x
  3. Step 3: Cross multiply
    589x = 883.50 × 178.14
  4. Step 4: Simplify right side
    589x = 157,386.69
  5. Step 5: Solve for x
    x = 157,386.69/589
  6. Step 6: Final answer
    x = 267.21

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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.