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Finding the Fourth Proportional to 421.22, 631.59 and 174.13

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Solution

The fourth proportional to 421.22, 631.59 and 174.13 is: 261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.22 : 631.59 = 174.13 : x
  2. Step 2: Convert to fraction form
    421.22/631.59 = 174.13/x
  3. Step 3: Cross multiply
    421.22x = 631.59 × 174.13
  4. Step 4: Simplify right side
    421.22x = 109,981.07
  5. Step 5: Solve for x
    x = 109,981.07/421.22
  6. Step 6: Final answer
    x = 261.10

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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.