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Finding the Fourth Proportional to 292.64, 403.65 and 182.07

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Solution

The fourth proportional to 292.64, 403.65 and 182.07 is: 251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 403.65 = 182.07 : x
  2. Step 2: Convert to fraction form
    292.64/403.65 = 182.07/x
  3. Step 3: Cross multiply
    292.64x = 403.65 × 182.07
  4. Step 4: Simplify right side
    292.64x = 73,492.56
  5. Step 5: Solve for x
    x = 73,492.56/292.64
  6. Step 6: Final answer
    x = 251.14

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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.