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Finding the Fourth Proportional to 359.64, 539.16 and 195.01

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Solution

The fourth proportional to 359.64, 539.16 and 195.01 is: 292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.64 : 539.16 = 195.01 : x
  2. Step 2: Convert to fraction form
    359.64/539.16 = 195.01/x
  3. Step 3: Cross multiply
    359.64x = 539.16 × 195.01
  4. Step 4: Simplify right side
    359.64x = 105,139.51
  5. Step 5: Solve for x
    x = 105,139.51/359.64
  6. Step 6: Final answer
    x = 292.35

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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.