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Finding the Fourth Proportional to 288.02, 432.14 and 242.80

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Solution

The fourth proportional to 288.02, 432.14 and 242.80 is: 364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.02 : 432.14 = 242.80 : x
  2. Step 2: Convert to fraction form
    288.02/432.14 = 242.80/x
  3. Step 3: Cross multiply
    288.02x = 432.14 × 242.80
  4. Step 4: Simplify right side
    288.02x = 104,921.30
  5. Step 5: Solve for x
    x = 104,921.30/288.02
  6. Step 6: Final answer
    x = 364.28

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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.