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Finding the Fourth Proportional to 290.13, 435.47 and 180.65

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Solution

The fourth proportional to 290.13, 435.47 and 180.65 is: 271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.13 : 435.47 = 180.65 : x
  2. Step 2: Convert to fraction form
    290.13/435.47 = 180.65/x
  3. Step 3: Cross multiply
    290.13x = 435.47 × 180.65
  4. Step 4: Simplify right side
    290.13x = 78,666.16
  5. Step 5: Solve for x
    x = 78,666.16/290.13
  6. Step 6: Final answer
    x = 271.14

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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.