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Finding the Fourth Proportional to 209.69, 314.74 and 101.57

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Solution

The fourth proportional to 209.69, 314.74 and 101.57 is: 152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.69 : 314.74 = 101.57 : x
  2. Step 2: Convert to fraction form
    209.69/314.74 = 101.57/x
  3. Step 3: Cross multiply
    209.69x = 314.74 × 101.57
  4. Step 4: Simplify right side
    209.69x = 31,968.14
  5. Step 5: Solve for x
    x = 31,968.14/209.69
  6. Step 6: Final answer
    x = 152.45

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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.