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Finding the Fourth Proportional to 185.02, 278.48 and 139.60

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Solution

The fourth proportional to 185.02, 278.48 and 139.60 is: 210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.02 : 278.48 = 139.60 : x
  2. Step 2: Convert to fraction form
    185.02/278.48 = 139.60/x
  3. Step 3: Cross multiply
    185.02x = 278.48 × 139.60
  4. Step 4: Simplify right side
    185.02x = 38,875.81
  5. Step 5: Solve for x
    x = 38,875.81/185.02
  6. Step 6: Final answer
    x = 210.12

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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.