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Finding the Fourth Proportional to 390.23, 585.35 and 101.67

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Solution

The fourth proportional to 390.23, 585.35 and 101.67 is: 152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.23 : 585.35 = 101.67 : x
  2. Step 2: Convert to fraction form
    390.23/585.35 = 101.67/x
  3. Step 3: Cross multiply
    390.23x = 585.35 × 101.67
  4. Step 4: Simplify right side
    390.23x = 59,512.03
  5. Step 5: Solve for x
    x = 59,512.03/390.23
  6. Step 6: Final answer
    x = 152.50

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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.