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Finding the Fourth Proportional to 295.09, 442.16 and 233.18

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Solution

The fourth proportional to 295.09, 442.16 and 233.18 is: 349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.09 : 442.16 = 233.18 : x
  2. Step 2: Convert to fraction form
    295.09/442.16 = 233.18/x
  3. Step 3: Cross multiply
    295.09x = 442.16 × 233.18
  4. Step 4: Simplify right side
    295.09x = 103,102.02
  5. Step 5: Solve for x
    x = 103,102.02/295.09
  6. Step 6: Final answer
    x = 349.39

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Why These Related Problems?

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