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Finding the Fourth Proportional to 209.72, 314.32 and 152.14

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Solution

The fourth proportional to 209.72, 314.32 and 152.14 is: 228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.72 : 314.32 = 152.14 : x
  2. Step 2: Convert to fraction form
    209.72/314.32 = 152.14/x
  3. Step 3: Cross multiply
    209.72x = 314.32 × 152.14
  4. Step 4: Simplify right side
    209.72x = 47,818.31
  5. Step 5: Solve for x
    x = 47,818.31/209.72
  6. Step 6: Final answer
    x = 228.02

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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.