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Finding the Fourth Proportional to 210.36, 314.87 and 118.77

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Solution

The fourth proportional to 210.36, 314.87 and 118.77 is: 177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.36 : 314.87 = 118.77 : x
  2. Step 2: Convert to fraction form
    210.36/314.87 = 118.77/x
  3. Step 3: Cross multiply
    210.36x = 314.87 × 118.77
  4. Step 4: Simplify right side
    210.36x = 37,396.52
  5. Step 5: Solve for x
    x = 37,396.52/210.36
  6. Step 6: Final answer
    x = 177.77

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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.