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Finding the Fourth Proportional to 186.64, 257.88 and 148.12

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Solution

The fourth proportional to 186.64, 257.88 and 148.12 is: 204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.64 : 257.88 = 148.12 : x
  2. Step 2: Convert to fraction form
    186.64/257.88 = 148.12/x
  3. Step 3: Cross multiply
    186.64x = 257.88 × 148.12
  4. Step 4: Simplify right side
    186.64x = 38,197.19
  5. Step 5: Solve for x
    x = 38,197.19/186.64
  6. Step 6: Final answer
    x = 204.66

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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.