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Finding the Fourth Proportional to 350.94, 526.14 and 177.51

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Solution

The fourth proportional to 350.94, 526.14 and 177.51 is: 266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.94 : 526.14 = 177.51 : x
  2. Step 2: Convert to fraction form
    350.94/526.14 = 177.51/x
  3. Step 3: Cross multiply
    350.94x = 526.14 × 177.51
  4. Step 4: Simplify right side
    350.94x = 93,395.11
  5. Step 5: Solve for x
    x = 93,395.11/350.94
  6. Step 6: Final answer
    x = 266.13

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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.