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Finding the Fourth Proportional to 295.25, 442.88 and 243.80

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Solution

The fourth proportional to 295.25, 442.88 and 243.80 is: 365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.25 : 442.88 = 243.80 : x
  2. Step 2: Convert to fraction form
    295.25/442.88 = 243.80/x
  3. Step 3: Cross multiply
    295.25x = 442.88 × 243.80
  4. Step 4: Simplify right side
    295.25x = 107,970.71
  5. Step 5: Solve for x
    x = 107,970.71/295.25
  6. Step 6: Final answer
    x = 365.70

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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.