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Finding the Fourth Proportional to 209.04, 314.96 and 175.60

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Solution

The fourth proportional to 209.04, 314.96 and 175.60 is: 264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.04 : 314.96 = 175.60 : x
  2. Step 2: Convert to fraction form
    209.04/314.96 = 175.60/x
  3. Step 3: Cross multiply
    209.04x = 314.96 × 175.60
  4. Step 4: Simplify right side
    209.04x = 55,306.98
  5. Step 5: Solve for x
    x = 55,306.98/209.04
  6. Step 6: Final answer
    x = 264.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.