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Finding the Fourth Proportional to 536.76, 805.14 and 152

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Solution

The fourth proportional to 536.76, 805.14 and 152 is: 228

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 805.14 = 152 : x
  2. Step 2: Convert to fraction form
    536.76/805.14 = 152/x
  3. Step 3: Cross multiply
    536.76x = 805.14 × 152
  4. Step 4: Simplify right side
    536.76x = 122,381.28
  5. Step 5: Solve for x
    x = 122,381.28/536.76
  6. Step 6: Final answer
    x = 228

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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.