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Finding the Fourth Proportional to 186.25, 256.95 and 112.53

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Solution

The fourth proportional to 186.25, 256.95 and 112.53 is: 155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.25 : 256.95 = 112.53 : x
  2. Step 2: Convert to fraction form
    186.25/256.95 = 112.53/x
  3. Step 3: Cross multiply
    186.25x = 256.95 × 112.53
  4. Step 4: Simplify right side
    186.25x = 28,914.02
  5. Step 5: Solve for x
    x = 28,914.02/186.25
  6. Step 6: Final answer
    x = 155.24

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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.