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Finding the Fourth Proportional to 210.93, 314.72 and 188.91

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Solution

The fourth proportional to 210.93, 314.72 and 188.91 is: 281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.93 : 314.72 = 188.91 : x
  2. Step 2: Convert to fraction form
    210.93/314.72 = 188.91/x
  3. Step 3: Cross multiply
    210.93x = 314.72 × 188.91
  4. Step 4: Simplify right side
    210.93x = 59,452.81
  5. Step 5: Solve for x
    x = 59,452.81/210.93
  6. Step 6: Final answer
    x = 281.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.