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Finding the Fourth Proportional to 290.36, 435.66 and 146.12

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Solution

The fourth proportional to 290.36, 435.66 and 146.12 is: 219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.36 : 435.66 = 146.12 : x
  2. Step 2: Convert to fraction form
    290.36/435.66 = 146.12/x
  3. Step 3: Cross multiply
    290.36x = 435.66 × 146.12
  4. Step 4: Simplify right side
    290.36x = 63,658.64
  5. Step 5: Solve for x
    x = 63,658.64/290.36
  6. Step 6: Final answer
    x = 219.24

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Why These Related Problems?

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