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Finding the Fourth Proportional to 184.51, 275.11 and 177.38

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Solution

The fourth proportional to 184.51, 275.11 and 177.38 is: 264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.51 : 275.11 = 177.38 : x
  2. Step 2: Convert to fraction form
    184.51/275.11 = 177.38/x
  3. Step 3: Cross multiply
    184.51x = 275.11 × 177.38
  4. Step 4: Simplify right side
    184.51x = 48,797.19
  5. Step 5: Solve for x
    x = 48,797.19/184.51
  6. Step 6: Final answer
    x = 264.47

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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.