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Finding the Fourth Proportional to 377.70, 566.10 and 172.06

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Solution

The fourth proportional to 377.70, 566.10 and 172.06 is: 257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.70 : 566.10 = 172.06 : x
  2. Step 2: Convert to fraction form
    377.70/566.10 = 172.06/x
  3. Step 3: Cross multiply
    377.70x = 566.10 × 172.06
  4. Step 4: Simplify right side
    377.70x = 97,403.17
  5. Step 5: Solve for x
    x = 97,403.17/377.70
  6. Step 6: Final answer
    x = 257.89

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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.