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Finding the Fourth Proportional to 390.75, 586.14 and 102.21

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Solution

The fourth proportional to 390.75, 586.14 and 102.21 is: 153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.75 : 586.14 = 102.21 : x
  2. Step 2: Convert to fraction form
    390.75/586.14 = 102.21/x
  3. Step 3: Cross multiply
    390.75x = 586.14 × 102.21
  4. Step 4: Simplify right side
    390.75x = 59,909.37
  5. Step 5: Solve for x
    x = 59,909.37/390.75
  6. Step 6: Final answer
    x = 153.32

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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.