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Finding the Fourth Proportional to 184.53, 274.93 and 174.05

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Solution

The fourth proportional to 184.53, 274.93 and 174.05 is: 259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.53 : 274.93 = 174.05 : x
  2. Step 2: Convert to fraction form
    184.53/274.93 = 174.05/x
  3. Step 3: Cross multiply
    184.53x = 274.93 × 174.05
  4. Step 4: Simplify right side
    184.53x = 47,851.57
  5. Step 5: Solve for x
    x = 47,851.57/184.53
  6. Step 6: Final answer
    x = 259.32

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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.