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Finding the Fourth Proportional to 536.94, 805.46 and 152.18

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Solution

The fourth proportional to 536.94, 805.46 and 152.18 is: 228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.94 : 805.46 = 152.18 : x
  2. Step 2: Convert to fraction form
    536.94/805.46 = 152.18/x
  3. Step 3: Cross multiply
    536.94x = 805.46 × 152.18
  4. Step 4: Simplify right side
    536.94x = 122,574.90
  5. Step 5: Solve for x
    x = 122,574.90/536.94
  6. Step 6: Final answer
    x = 228.28

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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.