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Finding the Fourth Proportional to 290.34, 435.72 and 146.10

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Solution

The fourth proportional to 290.34, 435.72 and 146.10 is: 219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.34 : 435.72 = 146.10 : x
  2. Step 2: Convert to fraction form
    290.34/435.72 = 146.10/x
  3. Step 3: Cross multiply
    290.34x = 435.72 × 146.10
  4. Step 4: Simplify right side
    290.34x = 63,658.69
  5. Step 5: Solve for x
    x = 63,658.69/290.34
  6. Step 6: Final answer
    x = 219.26

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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.