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Finding the Fourth Proportional to 290.32, 435.29 and 160.38

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Solution

The fourth proportional to 290.32, 435.29 and 160.38 is: 240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.32 : 435.29 = 160.38 : x
  2. Step 2: Convert to fraction form
    290.32/435.29 = 160.38/x
  3. Step 3: Cross multiply
    290.32x = 435.29 × 160.38
  4. Step 4: Simplify right side
    290.32x = 69,811.81
  5. Step 5: Solve for x
    x = 69,811.81/290.32
  6. Step 6: Final answer
    x = 240.47

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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.