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Finding the Fourth Proportional to 209.58, 314.63 and 175.77

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Solution

The fourth proportional to 209.58, 314.63 and 175.77 is: 263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.58 : 314.63 = 175.77 : x
  2. Step 2: Convert to fraction form
    209.58/314.63 = 175.77/x
  3. Step 3: Cross multiply
    209.58x = 314.63 × 175.77
  4. Step 4: Simplify right side
    209.58x = 55,301.64
  5. Step 5: Solve for x
    x = 55,301.64/209.58
  6. Step 6: Final answer
    x = 263.87

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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.