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Finding the Fourth Proportional to 316.07, 436.42 and 242.27

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Solution

The fourth proportional to 316.07, 436.42 and 242.27 is: 334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.07 : 436.42 = 242.27 : x
  2. Step 2: Convert to fraction form
    316.07/436.42 = 242.27/x
  3. Step 3: Cross multiply
    316.07x = 436.42 × 242.27
  4. Step 4: Simplify right side
    316.07x = 105,731.47
  5. Step 5: Solve for x
    x = 105,731.47/316.07
  6. Step 6: Final answer
    x = 334.52

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