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Finding the Fourth Proportional to 304.45, 455.58 and 188.80

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Solution

The fourth proportional to 304.45, 455.58 and 188.80 is: 282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.45 : 455.58 = 188.80 : x
  2. Step 2: Convert to fraction form
    304.45/455.58 = 188.80/x
  3. Step 3: Cross multiply
    304.45x = 455.58 × 188.80
  4. Step 4: Simplify right side
    304.45x = 86,011.23
  5. Step 5: Solve for x
    x = 86,011.23/304.45
  6. Step 6: Final answer
    x = 282.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.