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Finding the Fourth Proportional to 184.46, 275.20 and 176.33

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Solution

The fourth proportional to 184.46, 275.20 and 176.33 is: 263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.46 : 275.20 = 176.33 : x
  2. Step 2: Convert to fraction form
    184.46/275.20 = 176.33/x
  3. Step 3: Cross multiply
    184.46x = 275.20 × 176.33
  4. Step 4: Simplify right side
    184.46x = 48,526.02
  5. Step 5: Solve for x
    x = 48,526.02/184.46
  6. Step 6: Final answer
    x = 263.07

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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.