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Finding the Fourth Proportional to 295.05, 442.04 and 213.69

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Solution

The fourth proportional to 295.05, 442.04 and 213.69 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.05 : 442.04 = 213.69 : x
  2. Step 2: Convert to fraction form
    295.05/442.04 = 213.69/x
  3. Step 3: Cross multiply
    295.05x = 442.04 × 213.69
  4. Step 4: Simplify right side
    295.05x = 94,458.46
  5. Step 5: Solve for x
    x = 94,458.46/295.05
  6. Step 6: Final answer
    x = 320.14

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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.