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Finding the Fourth Proportional to 186.53, 278.28 and 166.01

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Solution

The fourth proportional to 186.53, 278.28 and 166.01 is: 247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.53 : 278.28 = 166.01 : x
  2. Step 2: Convert to fraction form
    186.53/278.28 = 166.01/x
  3. Step 3: Cross multiply
    186.53x = 278.28 × 166.01
  4. Step 4: Simplify right side
    186.53x = 46,195.87
  5. Step 5: Solve for x
    x = 46,195.87/186.53
  6. Step 6: Final answer
    x = 247.67

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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.