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Finding the Fourth Proportional to 302.88, 453.60 and 186.96

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Solution

The fourth proportional to 302.88, 453.60 and 186.96 is: 280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.88 : 453.60 = 186.96 : x
  2. Step 2: Convert to fraction form
    302.88/453.60 = 186.96/x
  3. Step 3: Cross multiply
    302.88x = 453.60 × 186.96
  4. Step 4: Simplify right side
    302.88x = 84,805.06
  5. Step 5: Solve for x
    x = 84,805.06/302.88
  6. Step 6: Final answer
    x = 280.00

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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.