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Finding the Fourth Proportional to 210.78, 317.42 and 184.05

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Solution

The fourth proportional to 210.78, 317.42 and 184.05 is: 277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.78 : 317.42 = 184.05 : x
  2. Step 2: Convert to fraction form
    210.78/317.42 = 184.05/x
  3. Step 3: Cross multiply
    210.78x = 317.42 × 184.05
  4. Step 4: Simplify right side
    210.78x = 58,420.23
  5. Step 5: Solve for x
    x = 58,420.23/210.78
  6. Step 6: Final answer
    x = 277.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.