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Finding the Fourth Proportional to 194.32, 292.88 and 182.53

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Solution

The fourth proportional to 194.32, 292.88 and 182.53 is: 275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.32 : 292.88 = 182.53 : x
  2. Step 2: Convert to fraction form
    194.32/292.88 = 182.53/x
  3. Step 3: Cross multiply
    194.32x = 292.88 × 182.53
  4. Step 4: Simplify right side
    194.32x = 53,459.39
  5. Step 5: Solve for x
    x = 53,459.39/194.32
  6. Step 6: Final answer
    x = 275.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.