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Finding the Fourth Proportional to 295.42, 442.90 and 133

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Solution

The fourth proportional to 295.42, 442.90 and 133 is: 199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.42 : 442.90 = 133 : x
  2. Step 2: Convert to fraction form
    295.42/442.90 = 133/x
  3. Step 3: Cross multiply
    295.42x = 442.90 × 133
  4. Step 4: Simplify right side
    295.42x = 58,905.70
  5. Step 5: Solve for x
    x = 58,905.70/295.42
  6. Step 6: Final answer
    x = 199.40

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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.