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Finding the Fourth Proportional to 183.45, 274.10 and 177.07

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Solution

The fourth proportional to 183.45, 274.10 and 177.07 is: 264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.45 : 274.10 = 177.07 : x
  2. Step 2: Convert to fraction form
    183.45/274.10 = 177.07/x
  3. Step 3: Cross multiply
    183.45x = 274.10 × 177.07
  4. Step 4: Simplify right side
    183.45x = 48,534.89
  5. Step 5: Solve for x
    x = 48,534.89/183.45
  6. Step 6: Final answer
    x = 264.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.