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Finding the Fourth Proportional to 316.41, 436.66 and 192.06

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Solution

The fourth proportional to 316.41, 436.66 and 192.06 is: 265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.41 : 436.66 = 192.06 : x
  2. Step 2: Convert to fraction form
    316.41/436.66 = 192.06/x
  3. Step 3: Cross multiply
    316.41x = 436.66 × 192.06
  4. Step 4: Simplify right side
    316.41x = 83,864.92
  5. Step 5: Solve for x
    x = 83,864.92/316.41
  6. Step 6: Final answer
    x = 265.05

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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.