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Finding the Fourth Proportional to 209.96, 314.98 and 101.88

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Solution

The fourth proportional to 209.96, 314.98 and 101.88 is: 152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.96 : 314.98 = 101.88 : x
  2. Step 2: Convert to fraction form
    209.96/314.98 = 101.88/x
  3. Step 3: Cross multiply
    209.96x = 314.98 × 101.88
  4. Step 4: Simplify right side
    209.96x = 32,090.16
  5. Step 5: Solve for x
    x = 32,090.16/209.96
  6. Step 6: Final answer
    x = 152.84

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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.