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Finding the Fourth Proportional to 288.16, 432.07 and 178.34

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Solution

The fourth proportional to 288.16, 432.07 and 178.34 is: 267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.16 : 432.07 = 178.34 : x
  2. Step 2: Convert to fraction form
    288.16/432.07 = 178.34/x
  3. Step 3: Cross multiply
    288.16x = 432.07 × 178.34
  4. Step 4: Simplify right side
    288.16x = 77,052.76
  5. Step 5: Solve for x
    x = 77,052.76/288.16
  6. Step 6: Final answer
    x = 267.40

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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.