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Finding the Fourth Proportional to 176.06, 242.95 and 102.37

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Solution

The fourth proportional to 176.06, 242.95 and 102.37 is: 141.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 242.95 = 102.37 : x
  2. Step 2: Convert to fraction form
    176.06/242.95 = 102.37/x
  3. Step 3: Cross multiply
    176.06x = 242.95 × 102.37
  4. Step 4: Simplify right side
    176.06x = 24,870.79
  5. Step 5: Solve for x
    x = 24,870.79/176.06
  6. Step 6: Final answer
    x = 141.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.