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Finding the Fourth Proportional to 184.84, 275.32 and 175.48

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Solution

The fourth proportional to 184.84, 275.32 and 175.48 is: 261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.84 : 275.32 = 175.48 : x
  2. Step 2: Convert to fraction form
    184.84/275.32 = 175.48/x
  3. Step 3: Cross multiply
    184.84x = 275.32 × 175.48
  4. Step 4: Simplify right side
    184.84x = 48,313.59
  5. Step 5: Solve for x
    x = 48,313.59/184.84
  6. Step 6: Final answer
    x = 261.38

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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.