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Finding the Fourth Proportional to 209.71, 314.61 and 101.62

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Solution

The fourth proportional to 209.71, 314.61 and 101.62 is: 152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.71 : 314.61 = 101.62 : x
  2. Step 2: Convert to fraction form
    209.71/314.61 = 101.62/x
  3. Step 3: Cross multiply
    209.71x = 314.61 × 101.62
  4. Step 4: Simplify right side
    209.71x = 31,970.67
  5. Step 5: Solve for x
    x = 31,970.67/209.71
  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.