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Finding the Fourth Proportional to 429.21, 643.59 and 155.16

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Solution

The fourth proportional to 429.21, 643.59 and 155.16 is: 232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.21 : 643.59 = 155.16 : x
  2. Step 2: Convert to fraction form
    429.21/643.59 = 155.16/x
  3. Step 3: Cross multiply
    429.21x = 643.59 × 155.16
  4. Step 4: Simplify right side
    429.21x = 99,859.42
  5. Step 5: Solve for x
    x = 99,859.42/429.21
  6. Step 6: Final answer
    x = 232.66

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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.