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Finding the Fourth Proportional to 292.46, 403.64 and 187.52

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Solution

The fourth proportional to 292.46, 403.64 and 187.52 is: 258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.46 : 403.64 = 187.52 : x
  2. Step 2: Convert to fraction form
    292.46/403.64 = 187.52/x
  3. Step 3: Cross multiply
    292.46x = 403.64 × 187.52
  4. Step 4: Simplify right side
    292.46x = 75,689.02
  5. Step 5: Solve for x
    x = 75,689.02/292.46
  6. Step 6: Final answer
    x = 258.80

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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.