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Finding the Fourth Proportional to 290.54, 435.74 and 144.20

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Solution

The fourth proportional to 290.54, 435.74 and 144.20 is: 216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.54 : 435.74 = 144.20 : x
  2. Step 2: Convert to fraction form
    290.54/435.74 = 144.20/x
  3. Step 3: Cross multiply
    290.54x = 435.74 × 144.20
  4. Step 4: Simplify right side
    290.54x = 62,830.81
  5. Step 5: Solve for x
    x = 62,830.81/290.54
  6. Step 6: Final answer
    x = 216.26

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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.