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Finding the Fourth Proportional to 295.14, 442.70 and 89.71

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Solution

The fourth proportional to 295.14, 442.70 and 89.71 is: 134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.14 : 442.70 = 89.71 : x
  2. Step 2: Convert to fraction form
    295.14/442.70 = 89.71/x
  3. Step 3: Cross multiply
    295.14x = 442.70 × 89.71
  4. Step 4: Simplify right side
    295.14x = 39,713.06
  5. Step 5: Solve for x
    x = 39,713.06/295.14
  6. Step 6: Final answer
    x = 134.56

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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.