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Finding the Fourth Proportional to 304.93, 420.79 and 172.14

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Solution

The fourth proportional to 304.93, 420.79 and 172.14 is: 237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.93 : 420.79 = 172.14 : x
  2. Step 2: Convert to fraction form
    304.93/420.79 = 172.14/x
  3. Step 3: Cross multiply
    304.93x = 420.79 × 172.14
  4. Step 4: Simplify right side
    304.93x = 72,434.79
  5. Step 5: Solve for x
    x = 72,434.79/304.93
  6. Step 6: Final answer
    x = 237.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.