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Finding the Fourth Proportional to 292.51, 403.68 and 180.46

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Solution

The fourth proportional to 292.51, 403.68 and 180.46 is: 249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.51 : 403.68 = 180.46 : x
  2. Step 2: Convert to fraction form
    292.51/403.68 = 180.46/x
  3. Step 3: Cross multiply
    292.51x = 403.68 × 180.46
  4. Step 4: Simplify right side
    292.51x = 72,849.27
  5. Step 5: Solve for x
    x = 72,849.27/292.51
  6. Step 6: Final answer
    x = 249.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.