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Finding the Fourth Proportional to 437.07, 655.50 and 177.00

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Solution

The fourth proportional to 437.07, 655.50 and 177.00 is: 265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.07 : 655.50 = 177.00 : x
  2. Step 2: Convert to fraction form
    437.07/655.50 = 177.00/x
  3. Step 3: Cross multiply
    437.07x = 655.50 × 177.00
  4. Step 4: Simplify right side
    437.07x = 116,021.71
  5. Step 5: Solve for x
    x = 116,021.71/437.07
  6. Step 6: Final answer
    x = 265.45

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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.