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Finding the Fourth Proportional to 209.90, 314.54 and 101.46

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Solution

The fourth proportional to 209.90, 314.54 and 101.46 is: 152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.90 : 314.54 = 101.46 : x
  2. Step 2: Convert to fraction form
    209.90/314.54 = 101.46/x
  3. Step 3: Cross multiply
    209.90x = 314.54 × 101.46
  4. Step 4: Simplify right side
    209.90x = 31,913.23
  5. Step 5: Solve for x
    x = 31,913.23/209.90
  6. Step 6: Final answer
    x = 152.04

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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.