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Finding the Fourth Proportional to 186.68, 257.64 and 109.06

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Solution

The fourth proportional to 186.68, 257.64 and 109.06 is: 150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.68 : 257.64 = 109.06 : x
  2. Step 2: Convert to fraction form
    186.68/257.64 = 109.06/x
  3. Step 3: Cross multiply
    186.68x = 257.64 × 109.06
  4. Step 4: Simplify right side
    186.68x = 28,098.22
  5. Step 5: Solve for x
    x = 28,098.22/186.68
  6. Step 6: Final answer
    x = 150.52

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Why These Related Problems?

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