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Finding the Fourth Proportional to 209.82, 314.76 and 101.58

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Solution

The fourth proportional to 209.82, 314.76 and 101.58 is: 152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 314.76 = 101.58 : x
  2. Step 2: Convert to fraction form
    209.82/314.76 = 101.58/x
  3. Step 3: Cross multiply
    209.82x = 314.76 × 101.58
  4. Step 4: Simplify right side
    209.82x = 31,973.32
  5. Step 5: Solve for x
    x = 31,973.32/209.82
  6. Step 6: Final answer
    x = 152.38

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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.