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Finding the Fourth Proportional to 290.30, 435.14 and 153.21

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Solution

The fourth proportional to 290.30, 435.14 and 153.21 is: 229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.30 : 435.14 = 153.21 : x
  2. Step 2: Convert to fraction form
    290.30/435.14 = 153.21/x
  3. Step 3: Cross multiply
    290.30x = 435.14 × 153.21
  4. Step 4: Simplify right side
    290.30x = 66,666.01
  5. Step 5: Solve for x
    x = 66,666.01/290.30
  6. Step 6: Final answer
    x = 229.65

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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.