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Finding the Fourth Proportional to 183.40, 275.48 and 177.25

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Solution

The fourth proportional to 183.40, 275.48 and 177.25 is: 266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.40 : 275.48 = 177.25 : x
  2. Step 2: Convert to fraction form
    183.40/275.48 = 177.25/x
  3. Step 3: Cross multiply
    183.40x = 275.48 × 177.25
  4. Step 4: Simplify right side
    183.40x = 48,828.49
  5. Step 5: Solve for x
    x = 48,828.49/183.40
  6. Step 6: Final answer
    x = 266.24

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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.