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Finding the Fourth Proportional to 239.02, 358.60 and 102.07

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Solution

The fourth proportional to 239.02, 358.60 and 102.07 is: 153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.02 : 358.60 = 102.07 : x
  2. Step 2: Convert to fraction form
    239.02/358.60 = 102.07/x
  3. Step 3: Cross multiply
    239.02x = 358.60 × 102.07
  4. Step 4: Simplify right side
    239.02x = 36,602.56
  5. Step 5: Solve for x
    x = 36,602.56/239.02
  6. Step 6: Final answer
    x = 153.14

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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.