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Finding the Fourth Proportional to 186.95, 278.81 and 176.46

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Solution

The fourth proportional to 186.95, 278.81 and 176.46 is: 263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.95 : 278.81 = 176.46 : x
  2. Step 2: Convert to fraction form
    186.95/278.81 = 176.46/x
  3. Step 3: Cross multiply
    186.95x = 278.81 × 176.46
  4. Step 4: Simplify right side
    186.95x = 49,197.93
  5. Step 5: Solve for x
    x = 49,197.93/186.95
  6. Step 6: Final answer
    x = 263.17

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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.