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Finding the Fourth Proportional to 210.25, 314.76 and 175.62

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Solution

The fourth proportional to 210.25, 314.76 and 175.62 is: 262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.25 : 314.76 = 175.62 : x
  2. Step 2: Convert to fraction form
    210.25/314.76 = 175.62/x
  3. Step 3: Cross multiply
    210.25x = 314.76 × 175.62
  4. Step 4: Simplify right side
    210.25x = 55,277.73
  5. Step 5: Solve for x
    x = 55,277.73/210.25
  6. Step 6: Final answer
    x = 262.92

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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.