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Finding the Fourth Proportional to 210.12, 315.54 and 178.08

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Solution

The fourth proportional to 210.12, 315.54 and 178.08 is: 267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.12 : 315.54 = 178.08 : x
  2. Step 2: Convert to fraction form
    210.12/315.54 = 178.08/x
  3. Step 3: Cross multiply
    210.12x = 315.54 × 178.08
  4. Step 4: Simplify right side
    210.12x = 56,191.36
  5. Step 5: Solve for x
    x = 56,191.36/210.12
  6. Step 6: Final answer
    x = 267.43

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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.