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Finding the Fourth Proportional to 288.52, 432.47 and 142.07

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Solution

The fourth proportional to 288.52, 432.47 and 142.07 is: 212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 432.47 = 142.07 : x
  2. Step 2: Convert to fraction form
    288.52/432.47 = 142.07/x
  3. Step 3: Cross multiply
    288.52x = 432.47 × 142.07
  4. Step 4: Simplify right side
    288.52x = 61,438.85
  5. Step 5: Solve for x
    x = 61,438.85/288.52
  6. Step 6: Final answer
    x = 212.94

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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.