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Finding the Fourth Proportional to 287.45, 430.70 and 179.02

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Solution

The fourth proportional to 287.45, 430.70 and 179.02 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.45 : 430.70 = 179.02 : x
  2. Step 2: Convert to fraction form
    287.45/430.70 = 179.02/x
  3. Step 3: Cross multiply
    287.45x = 430.70 × 179.02
  4. Step 4: Simplify right side
    287.45x = 77,101.76
  5. Step 5: Solve for x
    x = 77,101.76/287.45
  6. Step 6: Final answer
    x = 268.23

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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.