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Finding the Fourth Proportional to 186.24, 257.56 and 177.64

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Solution

The fourth proportional to 186.24, 257.56 and 177.64 is: 245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 257.56 = 177.64 : x
  2. Step 2: Convert to fraction form
    186.24/257.56 = 177.64/x
  3. Step 3: Cross multiply
    186.24x = 257.56 × 177.64
  4. Step 4: Simplify right side
    186.24x = 45,752.96
  5. Step 5: Solve for x
    x = 45,752.96/186.24
  6. Step 6: Final answer
    x = 245.67

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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.