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Finding the Fourth Proportional to 186.09, 256.35 and 175.83

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Solution

The fourth proportional to 186.09, 256.35 and 175.83 is: 242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.09 : 256.35 = 175.83 : x
  2. Step 2: Convert to fraction form
    186.09/256.35 = 175.83/x
  3. Step 3: Cross multiply
    186.09x = 256.35 × 175.83
  4. Step 4: Simplify right side
    186.09x = 45,074.02
  5. Step 5: Solve for x
    x = 45,074.02/186.09
  6. Step 6: Final answer
    x = 242.22

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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.