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Finding the Fourth Proportional to 295.25, 442.74 and 100.20

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Solution

The fourth proportional to 295.25, 442.74 and 100.20 is: 150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.25 : 442.74 = 100.20 : x
  2. Step 2: Convert to fraction form
    295.25/442.74 = 100.20/x
  3. Step 3: Cross multiply
    295.25x = 442.74 × 100.20
  4. Step 4: Simplify right side
    295.25x = 44,362.55
  5. Step 5: Solve for x
    x = 44,362.55/295.25
  6. Step 6: Final answer
    x = 150.26

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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.