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Finding the Fourth Proportional to 210.47, 314.73 and 118.71

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Solution

The fourth proportional to 210.47, 314.73 and 118.71 is: 177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.47 : 314.73 = 118.71 : x
  2. Step 2: Convert to fraction form
    210.47/314.73 = 118.71/x
  3. Step 3: Cross multiply
    210.47x = 314.73 × 118.71
  4. Step 4: Simplify right side
    210.47x = 37,361.60
  5. Step 5: Solve for x
    x = 37,361.60/210.47
  6. Step 6: Final answer
    x = 177.52

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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.