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Finding the Fourth Proportional to 295.68, 443.16 and 210

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Solution

The fourth proportional to 295.68, 443.16 and 210 is: 314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.68 : 443.16 = 210 : x
  2. Step 2: Convert to fraction form
    295.68/443.16 = 210/x
  3. Step 3: Cross multiply
    295.68x = 443.16 × 210
  4. Step 4: Simplify right side
    295.68x = 93,063.60
  5. Step 5: Solve for x
    x = 93,063.60/295.68
  6. Step 6: Final answer
    x = 314.74

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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.