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Finding the Fourth Proportional to 295.70, 443.50 and 79.30

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Solution

The fourth proportional to 295.70, 443.50 and 79.30 is: 118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.70 : 443.50 = 79.30 : x
  2. Step 2: Convert to fraction form
    295.70/443.50 = 79.30/x
  3. Step 3: Cross multiply
    295.70x = 443.50 × 79.30
  4. Step 4: Simplify right side
    295.70x = 35,166.94
  5. Step 5: Solve for x
    x = 35,166.94/295.70
  6. Step 6: Final answer
    x = 118.93

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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.