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Finding the Fourth Proportional to 176.64, 265.16 and 138.06

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Solution

The fourth proportional to 176.64, 265.16 and 138.06 is: 207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.64 : 265.16 = 138.06 : x
  2. Step 2: Convert to fraction form
    176.64/265.16 = 138.06/x
  3. Step 3: Cross multiply
    176.64x = 265.16 × 138.06
  4. Step 4: Simplify right side
    176.64x = 36,607.99
  5. Step 5: Solve for x
    x = 36,607.99/176.64
  6. Step 6: Final answer
    x = 207.25

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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.