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Finding the Fourth Proportional to 359.16, 538.81 and 128.06

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Solution

The fourth proportional to 359.16, 538.81 and 128.06 is: 192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.16 : 538.81 = 128.06 : x
  2. Step 2: Convert to fraction form
    359.16/538.81 = 128.06/x
  3. Step 3: Cross multiply
    359.16x = 538.81 × 128.06
  4. Step 4: Simplify right side
    359.16x = 69,000.01
  5. Step 5: Solve for x
    x = 69,000.01/359.16
  6. Step 6: Final answer
    x = 192.11

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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.