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Finding the Fourth Proportional to 316.04, 473.63 and 186.10

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Solution

The fourth proportional to 316.04, 473.63 and 186.10 is: 278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.04 : 473.63 = 186.10 : x
  2. Step 2: Convert to fraction form
    316.04/473.63 = 186.10/x
  3. Step 3: Cross multiply
    316.04x = 473.63 × 186.10
  4. Step 4: Simplify right side
    316.04x = 88,142.54
  5. Step 5: Solve for x
    x = 88,142.54/316.04
  6. Step 6: Final answer
    x = 278.90

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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.