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Finding the Fourth Proportional to 210.42, 314.94 and 156.42

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Solution

The fourth proportional to 210.42, 314.94 and 156.42 is: 234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.42 : 314.94 = 156.42 : x
  2. Step 2: Convert to fraction form
    210.42/314.94 = 156.42/x
  3. Step 3: Cross multiply
    210.42x = 314.94 × 156.42
  4. Step 4: Simplify right side
    210.42x = 49,262.91
  5. Step 5: Solve for x
    x = 49,262.91/210.42
  6. Step 6: Final answer
    x = 234.12

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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.