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Finding the Fourth Proportional to 210.07, 314.82 and 118.81

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Solution

The fourth proportional to 210.07, 314.82 and 118.81 is: 178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.07 : 314.82 = 118.81 : x
  2. Step 2: Convert to fraction form
    210.07/314.82 = 118.81/x
  3. Step 3: Cross multiply
    210.07x = 314.82 × 118.81
  4. Step 4: Simplify right side
    210.07x = 37,403.76
  5. Step 5: Solve for x
    x = 37,403.76/210.07
  6. Step 6: Final answer
    x = 178.05

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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.