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Finding the Fourth Proportional to 303.53, 455.30 and 111.11

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Solution

The fourth proportional to 303.53, 455.30 and 111.11 is: 166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.53 : 455.30 = 111.11 : x
  2. Step 2: Convert to fraction form
    303.53/455.30 = 111.11/x
  3. Step 3: Cross multiply
    303.53x = 455.30 × 111.11
  4. Step 4: Simplify right side
    303.53x = 50,587.83
  5. Step 5: Solve for x
    x = 50,587.83/303.53
  6. Step 6: Final answer
    x = 166.67

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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.