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Finding the Fourth Proportional to 288.71, 432.80 and 186.02

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Solution

The fourth proportional to 288.71, 432.80 and 186.02 is: 278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.71 : 432.80 = 186.02 : x
  2. Step 2: Convert to fraction form
    288.71/432.80 = 186.02/x
  3. Step 3: Cross multiply
    288.71x = 432.80 × 186.02
  4. Step 4: Simplify right side
    288.71x = 80,509.46
  5. Step 5: Solve for x
    x = 80,509.46/288.71
  6. Step 6: Final answer
    x = 278.86

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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.