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Finding the Fourth Proportional to 240.16, 359.88 and 118.51

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Solution

The fourth proportional to 240.16, 359.88 and 118.51 is: 177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.16 : 359.88 = 118.51 : x
  2. Step 2: Convert to fraction form
    240.16/359.88 = 118.51/x
  3. Step 3: Cross multiply
    240.16x = 359.88 × 118.51
  4. Step 4: Simplify right side
    240.16x = 42,649.38
  5. Step 5: Solve for x
    x = 42,649.38/240.16
  6. Step 6: Final answer
    x = 177.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.