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Finding the Fourth Proportional to 173.74, 260.56 and 52.00

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Solution

The fourth proportional to 173.74, 260.56 and 52.00 is: 77.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.74 : 260.56 = 52.00 : x
  2. Step 2: Convert to fraction form
    173.74/260.56 = 52.00/x
  3. Step 3: Cross multiply
    173.74x = 260.56 × 52.00
  4. Step 4: Simplify right side
    173.74x = 13,547.56
  5. Step 5: Solve for x
    x = 13,547.56/173.74
  6. Step 6: Final answer
    x = 77.98

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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.