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Finding the Fourth Proportional to 302.51, 452.86 and 186.58

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Solution

The fourth proportional to 302.51, 452.86 and 186.58 is: 279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.51 : 452.86 = 186.58 : x
  2. Step 2: Convert to fraction form
    302.51/452.86 = 186.58/x
  3. Step 3: Cross multiply
    302.51x = 452.86 × 186.58
  4. Step 4: Simplify right side
    302.51x = 84,494.62
  5. Step 5: Solve for x
    x = 84,494.62/302.51
  6. Step 6: Final answer
    x = 279.31

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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.