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Finding the Fourth Proportional to 295.57, 442.71 and 192.55

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Solution

The fourth proportional to 295.57, 442.71 and 192.55 is: 288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.57 : 442.71 = 192.55 : x
  2. Step 2: Convert to fraction form
    295.57/442.71 = 192.55/x
  3. Step 3: Cross multiply
    295.57x = 442.71 × 192.55
  4. Step 4: Simplify right side
    295.57x = 85,243.81
  5. Step 5: Solve for x
    x = 85,243.81/295.57
  6. Step 6: Final answer
    x = 288.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.