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Finding the Fourth Proportional to 303.24, 454.86 and 189.32

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Solution

The fourth proportional to 303.24, 454.86 and 189.32 is: 283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.24 : 454.86 = 189.32 : x
  2. Step 2: Convert to fraction form
    303.24/454.86 = 189.32/x
  3. Step 3: Cross multiply
    303.24x = 454.86 × 189.32
  4. Step 4: Simplify right side
    303.24x = 86,114.10
  5. Step 5: Solve for x
    x = 86,114.10/303.24
  6. Step 6: Final answer
    x = 283.98

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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.