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Finding the Fourth Proportional to 290.58, 435.30 and 146.16

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Solution

The fourth proportional to 290.58, 435.30 and 146.16 is: 218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.58 : 435.30 = 146.16 : x
  2. Step 2: Convert to fraction form
    290.58/435.30 = 146.16/x
  3. Step 3: Cross multiply
    290.58x = 435.30 × 146.16
  4. Step 4: Simplify right side
    290.58x = 63,623.45
  5. Step 5: Solve for x
    x = 63,623.45/290.58
  6. Step 6: Final answer
    x = 218.95

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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.