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Finding the Fourth Proportional to 295.02, 442.49 and 102.62

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Solution

The fourth proportional to 295.02, 442.49 and 102.62 is: 153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.02 : 442.49 = 102.62 : x
  2. Step 2: Convert to fraction form
    295.02/442.49 = 102.62/x
  3. Step 3: Cross multiply
    295.02x = 442.49 × 102.62
  4. Step 4: Simplify right side
    295.02x = 45,408.32
  5. Step 5: Solve for x
    x = 45,408.32/295.02
  6. Step 6: Final answer
    x = 153.92

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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.