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Finding the Fourth Proportional to 287.07, 430.74 and 196.08

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Solution

The fourth proportional to 287.07, 430.74 and 196.08 is: 294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.07 : 430.74 = 196.08 : x
  2. Step 2: Convert to fraction form
    287.07/430.74 = 196.08/x
  3. Step 3: Cross multiply
    287.07x = 430.74 × 196.08
  4. Step 4: Simplify right side
    287.07x = 84,459.50
  5. Step 5: Solve for x
    x = 84,459.50/287.07
  6. Step 6: Final answer
    x = 294.21

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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.