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Finding the Fourth Proportional to 302.56, 452.81 and 187.08

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Solution

The fourth proportional to 302.56, 452.81 and 187.08 is: 279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.56 : 452.81 = 187.08 : x
  2. Step 2: Convert to fraction form
    302.56/452.81 = 187.08/x
  3. Step 3: Cross multiply
    302.56x = 452.81 × 187.08
  4. Step 4: Simplify right side
    302.56x = 84,710.46
  5. Step 5: Solve for x
    x = 84,710.46/302.56
  6. Step 6: Final answer
    x = 279.98

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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.