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Finding the Fourth Proportional to 295.08, 442.68 and 102.84

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Solution

The fourth proportional to 295.08, 442.68 and 102.84 is: 154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.08 : 442.68 = 102.84 : x
  2. Step 2: Convert to fraction form
    295.08/442.68 = 102.84/x
  3. Step 3: Cross multiply
    295.08x = 442.68 × 102.84
  4. Step 4: Simplify right side
    295.08x = 45,525.21
  5. Step 5: Solve for x
    x = 45,525.21/295.08
  6. Step 6: Final answer
    x = 154.28

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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.