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Finding the Fourth Proportional to 302.54, 453.75 and 86.06

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Solution

The fourth proportional to 302.54, 453.75 and 86.06 is: 129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.54 : 453.75 = 86.06 : x
  2. Step 2: Convert to fraction form
    302.54/453.75 = 86.06/x
  3. Step 3: Cross multiply
    302.54x = 453.75 × 86.06
  4. Step 4: Simplify right side
    302.54x = 39,051.02
  5. Step 5: Solve for x
    x = 39,051.02/302.54
  6. Step 6: Final answer
    x = 129.08

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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.