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Finding the Fourth Proportional to 292.47, 403.59 and 181.94

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Solution

The fourth proportional to 292.47, 403.59 and 181.94 is: 251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.47 : 403.59 = 181.94 : x
  2. Step 2: Convert to fraction form
    292.47/403.59 = 181.94/x
  3. Step 3: Cross multiply
    292.47x = 403.59 × 181.94
  4. Step 4: Simplify right side
    292.47x = 73,427.15
  5. Step 5: Solve for x
    x = 73,427.15/292.47
  6. Step 6: Final answer
    x = 251.06

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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.