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Finding the Fourth Proportional to 316.14, 473.93 and 121.09

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Solution

The fourth proportional to 316.14, 473.93 and 121.09 is: 181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.14 : 473.93 = 121.09 : x
  2. Step 2: Convert to fraction form
    316.14/473.93 = 121.09/x
  3. Step 3: Cross multiply
    316.14x = 473.93 × 121.09
  4. Step 4: Simplify right side
    316.14x = 57,386.06
  5. Step 5: Solve for x
    x = 57,386.06/316.14
  6. Step 6: Final answer
    x = 181.52

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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.