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Finding the Fourth Proportional to 175.01, 264.16 and 175.01

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Solution

The fourth proportional to 175.01, 264.16 and 175.01 is: 264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.01 : 264.16 = 175.01 : x
  2. Step 2: Convert to fraction form
    175.01/264.16 = 175.01/x
  3. Step 3: Cross multiply
    175.01x = 264.16 × 175.01
  4. Step 4: Simplify right side
    175.01x = 46,230.64
  5. Step 5: Solve for x
    x = 46,230.64/175.01
  6. Step 6: Final answer
    x = 264.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.