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Finding the Fourth Proportional to 187.03, 278.78 and 172.45

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Solution

The fourth proportional to 187.03, 278.78 and 172.45 is: 257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.03 : 278.78 = 172.45 : x
  2. Step 2: Convert to fraction form
    187.03/278.78 = 172.45/x
  3. Step 3: Cross multiply
    187.03x = 278.78 × 172.45
  4. Step 4: Simplify right side
    187.03x = 48,075.61
  5. Step 5: Solve for x
    x = 48,075.61/187.03
  6. Step 6: Final answer
    x = 257.05

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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.