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Finding the Fourth Proportional to 186.66, 256.73 and 153.23

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Solution

The fourth proportional to 186.66, 256.73 and 153.23 is: 210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.66 : 256.73 = 153.23 : x
  2. Step 2: Convert to fraction form
    186.66/256.73 = 153.23/x
  3. Step 3: Cross multiply
    186.66x = 256.73 × 153.23
  4. Step 4: Simplify right side
    186.66x = 39,336.69
  5. Step 5: Solve for x
    x = 39,336.69/186.66
  6. Step 6: Final answer
    x = 210.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.