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Finding the Fourth Proportional to 295.88, 442.60 and 213.10

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Solution

The fourth proportional to 295.88, 442.60 and 213.10 is: 318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.88 : 442.60 = 213.10 : x
  2. Step 2: Convert to fraction form
    295.88/442.60 = 213.10/x
  3. Step 3: Cross multiply
    295.88x = 442.60 × 213.10
  4. Step 4: Simplify right side
    295.88x = 94,316.42
  5. Step 5: Solve for x
    x = 94,316.42/295.88
  6. Step 6: Final answer
    x = 318.77

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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.