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Finding the Fourth Proportional to 296.81, 445.36 and 210.70

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Solution

The fourth proportional to 296.81, 445.36 and 210.70 is: 316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.81 : 445.36 = 210.70 : x
  2. Step 2: Convert to fraction form
    296.81/445.36 = 210.70/x
  3. Step 3: Cross multiply
    296.81x = 445.36 × 210.70
  4. Step 4: Simplify right side
    296.81x = 93,835.13
  5. Step 5: Solve for x
    x = 93,835.13/296.81
  6. Step 6: Final answer
    x = 316.15

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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.